<SEC-DOCUMENT>0001193125-20-174903.txt : 20200622
<SEC-HEADER>0001193125-20-174903.hdr.sgml : 20200622
<ACCEPTANCE-DATETIME>20200622103104
ACCESSION NUMBER:		0001193125-20-174903
CONFORMED SUBMISSION TYPE:	8-K
PUBLIC DOCUMENT COUNT:		14
CONFORMED PERIOD OF REPORT:	20200622
ITEM INFORMATION:		Other Events
ITEM INFORMATION:		Financial Statements and Exhibits
FILED AS OF DATE:		20200622
DATE AS OF CHANGE:		20200622

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			ROPER TECHNOLOGIES INC
		CENTRAL INDEX KEY:			0000882835
		STANDARD INDUSTRIAL CLASSIFICATION:	INDUSTRIAL INSTRUMENTS FOR MEASUREMENT, DISPLAY, AND CONTROL [3823]
		IRS NUMBER:				510263969
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		8-K
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-12273
		FILM NUMBER:		20977465

	BUSINESS ADDRESS:	
		STREET 1:		6901 PROFESSIONAL PKWY EAST
		STREET 2:		SUITE 200
		CITY:			SARASOTA
		STATE:			FL
		ZIP:			34240
		BUSINESS PHONE:		9415562601

	MAIL ADDRESS:	
		STREET 1:		6901 PROFESSIONAL PKWY EAST
		STREET 2:		SUITE 200
		CITY:			SARASOTA
		STATE:			FL
		ZIP:			34240

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	ROPER INDUSTRIES INC
		DATE OF NAME CHANGE:	20080527

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	ROPER INDUSTRIES INC /DE/
		DATE OF NAME CHANGE:	19930328
</SEC-HEADER>
<DOCUMENT>
<TYPE>8-K
<SEQUENCE>1
<FILENAME>d852216d8k.htm
<DESCRIPTION>FORM 8-K
<TEXT>
<XBRL>
<?xml version="1.0" encoding="utf-8" ?>
<html xmlns:dei="http://xbrl.sec.gov/dei/2019-01-31" xmlns:us-types="http://fasb.org/us-types/2019-01-31" xmlns:nonnum="http://www.xbrl.org/dtr/type/non-numeric" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:rop="http://ropertech.com/20200622" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:utr="http://www.xbrl.org/2009/utr" xmlns:iso4217="http://www.xbrl.org/2003/iso4217" xmlns:ix="http://www.xbrl.org/2013/inlineXBRL" xmlns:ixt="http://www.xbrl.org/inlineXBRL/transformation/2015-02-26" xmlns:ixt-sec="http://www.sec.gov/inlineXBRL/transformation/2015-08-31" xmlns:sic="http://xbrl.sec.gov/sic/2011-01-31" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns="http://www.w3.org/1999/xhtml">
<head>
<title>Form 8-K</title>
<meta http-equiv="Content-Type" content="text/html" />
</head>
   <body><div style="display:none"> <ix:header> <ix:hidden> <ix:nonNumeric id="Hidden_dei_EntityRegistrantName" name="dei:EntityRegistrantName" contextRef="duration_2020-06-22_to_2020-06-22">ROPER TECHNOLOGIES INC</ix:nonNumeric> <ix:nonNumeric name="dei:AmendmentFlag" contextRef="duration_2020-06-22_to_2020-06-22">false</ix:nonNumeric> <ix:nonNumeric id="Hidden_dei_EntityCentralIndexKey" name="dei:EntityCentralIndexKey" contextRef="duration_2020-06-22_to_2020-06-22">0000882835</ix:nonNumeric> </ix:hidden> <ix:references> <link:schemaRef xlink:type="simple" xlink:href="rop-20200622.xsd" xlink:arcrole="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:link="http://www.xbrl.org/2003/linkbase"></link:schemaRef> </ix:references> <ix:resources> <xbrli:context id="duration_2020-06-22_to_2020-06-22"> <xbrli:entity> <xbrli:identifier scheme="http://www.sec.gov/CIK">0000882835</xbrli:identifier> </xbrli:entity> <xbrli:period> <xbrli:startDate>2020-06-22</xbrli:startDate> <xbrli:endDate>2020-06-22</xbrli:endDate> </xbrli:period> </xbrli:context> </ix:resources> </ix:header> </div> <div style="font-size:10pt;width:8.5in;margin:0 auto"> <div style="text-align:center"> <p style="line-height:0.5pt;border-bottom:0.50px solid #000000;width:100%;margin-top:0pt;margin-bottom:0pt">&#160;</p></div> <div style="text-align:center"> <p style="line-height:3pt;border-bottom:0.50px solid #000000;width:100%;margin-top:0pt;margin-bottom:2pt">&#160;</p></div> <p style="margin-bottom:0px;margin-top:4pt"></p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:18pt;margin-bottom:0pt;margin-top:0pt">UNITED STATES</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:18pt;margin-bottom:0pt;margin-top:0pt">SECURITIES AND EXCHANGE COMMISSION</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:12pt;margin-bottom:0pt;margin-top:0pt">WASHINGTON, DC 20549</p> <div style="text-align:center"> <p style="line-height:6pt;margin-left:auto;border-bottom:1px solid #000000;width:21.05%;margin-right:auto;margin-top:9pt;margin-bottom:0px">&#160;</p></div> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:18pt;margin-bottom:0px;margin-top:9pt">FORM <ix:nonNumeric name="dei:DocumentType" contextRef="duration_2020-06-22_to_2020-06-22">8-K</ix:nonNumeric></p> <div style="text-align:center"> <p style="line-height:6pt;margin-left:auto;border-bottom:1px solid #000000;width:21.05%;margin-right:auto;margin-top:9pt;margin-bottom:0px">&#160;</p></div> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:12pt;margin-bottom:0px;margin-top:9pt">CURRENT REPORT</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:12pt;margin-bottom:0pt;margin-top:0pt">PURSUANT TO SECTION 13 OR 15(D)</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:12pt;margin-bottom:0pt;margin-top:0pt">OF THE SECURITIES EXCHANGE ACT OF 1934</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:12pt;margin-bottom:0px;margin-top:9pt"><ix:nonNumeric name="dei:DocumentPeriodEndDate" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt:datemonthdayyearen">June 22, 2020</ix:nonNumeric></p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:12pt;margin-bottom:0pt;margin-top:0pt">DATE OF REPORT (DATE OF EARLIEST EVENT REPORTED)</p> <div style="text-align:center"> <p style="line-height:6pt;margin-left:auto;border-bottom:1px solid #000000;width:21.05%;margin-right:auto;margin-top:9pt;margin-bottom:0px">&#160;</p></div> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:24pt;margin-bottom:0px;margin-top:9pt"> <span style=" -sec-ix-hidden:Hidden_dei_EntityRegistrantName">ROPER TECHNOLOGIES, INC.</span> </p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt">(EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)</p> <div style="text-align:center"> <p style="line-height:6pt;margin-left:auto;border-bottom:1px solid #000000;width:21.05%;margin-right:auto;margin-top:9pt;margin-bottom:0px">&#160;</p></div> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0px;margin-top:9pt"><ix:nonNumeric name="dei:EntityIncorporationStateCountryCode" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:stateprovnameen">Delaware</ix:nonNumeric></p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">(STATE OR OTHER JURISDICTION OF INCORPORATION)</p>
<table cellspacing="0" cellpadding="0" border="0" style="font-size:10pt;border-collapse:separate;border-spacing:0;width:100%;margin-bottom:0px;margin-top:9pt;margin-left:auto;margin-right:auto">
<tr>
<td style="width:50%;"></td>
<td style="width:1%;"></td>
<td style="width:48%;"></td></tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:EntityFileNumber" contextRef="duration_2020-06-22_to_2020-06-22">1-12273</ix:nonNumeric></p></td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:EntityTaxIdentificationNumber" contextRef="duration_2020-06-22_to_2020-06-22">51-0263969</ix:nonNumeric></p></td></tr>
<tr style="page-break-inside:avoid;font-size:8pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">(COMMISSION FILE NUMBER)</p></td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">(IRS EMPLOYER IDENTIFICATION NO.)</p></td></tr></table>
<table cellspacing="0" cellpadding="0" border="0" style="font-size:10pt;border-collapse:separate;border-spacing:0;width:100%;margin-bottom:0px;margin-top:9pt;margin-left:auto;margin-right:auto">
<tr>
<td style="width:50%;"></td>
<td style="width:1%;"></td>
<td style="width:48%;"></td></tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:EntityAddressAddressLine1" contextRef="duration_2020-06-22_to_2020-06-22">6901 Professional Pkway. East</ix:nonNumeric>, <ix:nonNumeric name="dei:EntityAddressAddressLine2" contextRef="duration_2020-06-22_to_2020-06-22">Suite 200</ix:nonNumeric></p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:EntityAddressCityOrTown" contextRef="duration_2020-06-22_to_2020-06-22">Sarasota</ix:nonNumeric>, <ix:nonNumeric name="dei:EntityAddressStateOrProvince" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:stateprovnameen">Florida</ix:nonNumeric></p></td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:EntityAddressPostalZipCode" contextRef="duration_2020-06-22_to_2020-06-22">34240</ix:nonNumeric></p></td></tr>
<tr style="page-break-inside:avoid;font-size:8pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">(ADDRESS OF PRINCIPAL EXECUTIVE OFFICES)</p></td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">(ZIP CODE)</p></td></tr></table> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0px;margin-top:9pt"><ix:nonNumeric name="dei:CityAreaCode" contextRef="duration_2020-06-22_to_2020-06-22">(941)</ix:nonNumeric> <ix:nonNumeric name="dei:LocalPhoneNumber" contextRef="duration_2020-06-22_to_2020-06-22">556-2601</ix:nonNumeric></p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">(REGISTRANT&#8217;S TELEPHONE NUMBER, INCLUDING AREA CODE)</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0px;margin-top:24pt">(FORMER NAME OR ADDRESS, IF CHANGED SINCE LAST REPORT)</p> <div style="text-align:center"> <p style="line-height:6pt;margin-left:auto;border-bottom:1px solid #000000;width:21.05%;margin-right:auto;margin-top:9pt;margin-bottom:0px">&#160;</p></div> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0px;margin-top:9pt">Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions (<span style="text-decoration:underline">see</span> General Instruction A.2. below):</p> <p style="margin-bottom:0px;margin-top:6pt"></p>
<table cellspacing="0" cellpadding="0" border="0" style="font-family:Times New Roman;border-collapse:collapse;text-align:left;width:100%;font-size:10pt;margin-bottom:0pt;margin-top:0pt;border:0;">
<tr style="page-break-inside:avoid;">
<td style="width:4%;vertical-align:top;white-space:nowrap;"> <span style="font-family:Times New Roman;font-weight:normal"><ix:nonNumeric name="dei:WrittenCommunications" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:boolballotbox">&#9744;</ix:nonNumeric></span>&#32;</td>
<td style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)</td></tr></table> <p style="margin-bottom:0px;margin-top:6pt"></p>
<table cellspacing="0" cellpadding="0" border="0" style="font-family:Times New Roman;border-collapse:collapse;text-align:left;width:100%;font-size:10pt;margin-bottom:0pt;margin-top:0pt;border:0;">
<tr style="page-break-inside:avoid;">
<td style="width:4%;vertical-align:top;white-space:nowrap;"> <span style="font-family:Times New Roman;font-weight:normal"><ix:nonNumeric name="dei:SolicitingMaterial" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:boolballotbox">&#9744;</ix:nonNumeric></span>&#32;</td>
<td style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)</td></tr></table> <p style="margin-bottom:0px;margin-top:6pt"></p>
<table cellspacing="0" cellpadding="0" border="0" style="font-family:Times New Roman;border-collapse:collapse;text-align:left;width:100%;font-size:10pt;margin-bottom:0pt;margin-top:0pt;border:0;">
<tr style="page-break-inside:avoid;">
<td style="width:4%;vertical-align:top;white-space:nowrap;"> <span style="font-family:Times New Roman;font-weight:normal"><ix:nonNumeric name="dei:PreCommencementTenderOffer" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:boolballotbox">&#9744;</ix:nonNumeric></span>&#32;</td>
<td style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))</td></tr></table> <p style="margin-bottom:0px;margin-top:6pt"></p>
<table cellspacing="0" cellpadding="0" border="0" style="font-family:Times New Roman;border-collapse:collapse;text-align:left;width:100%;font-size:10pt;margin-bottom:0pt;margin-top:0pt;border:0;">
<tr style="page-break-inside:avoid;">
<td style="width:4%;vertical-align:top;white-space:nowrap;"> <span style="font-family:Times New Roman;font-weight:normal"><ix:nonNumeric name="dei:PreCommencementIssuerTenderOffer" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:boolballotbox">&#9744;</ix:nonNumeric></span>&#32;</td>
<td style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))</td></tr></table> <p style="font-family:Times New Roman;font-weight:bold;text-align:left;font-size:10pt;margin-bottom:0px;margin-top:9pt">Securities registered pursuant to Section 12(b) of the Act:</p>
<table cellspacing="0" cellpadding="0" border="0" style="font-size:8pt;border-collapse:separate;border-spacing:0;width:100%;margin-bottom:0px;margin-top:9pt;margin-left:auto;margin-right:auto">
<tr>
<td style="width:34%;"></td>
<td></td>
<td style="width:33%;"></td>
<td style="width:1%;"></td>
<td style="width:33%;"></td></tr>
<tr style="page-break-inside:avoid;font-size:8pt;">
<td style="border-bottom:1pt solid #000000;white-space:nowrap;vertical-align:bottom;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">Title of Each Class</p></td>
<td style="vertical-align:bottom;">&#160;</td>
<td style="border-bottom:1pt solid #000000;vertical-align:bottom;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">Trading</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">Symbol(s)</p></td>
<td style="vertical-align:bottom;">&#160;</td>
<td style="border-bottom:1pt solid #000000;vertical-align:bottom;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">Name of Each Exchange</p> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:8pt;margin-bottom:0pt;margin-top:0pt">On Which Registered</p></td></tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:Security12bTitle" contextRef="duration_2020-06-22_to_2020-06-22">Common Stock, $0.01 Par Value</ix:nonNumeric></p></td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:TradingSymbol" contextRef="duration_2020-06-22_to_2020-06-22">ROP</ix:nonNumeric></p></td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;font-size:10pt;margin-bottom:0pt;margin-top:0pt"><ix:nonNumeric name="dei:SecurityExchangeName" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:exchnameen">New York Stock Exchange</ix:nonNumeric></p></td></tr></table> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0px;margin-top:9pt">Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (&#167;230.405 of this chapter) or Rule 12b-2 of the Securities Exchange Act of 1934 (&#167;240.12b-2 of this chapter).</p> <p style="font-family:Times New Roman;text-align:right;font-size:10pt;margin-bottom:0px;margin-top:9pt">Emerging growth company&#160;&#160;<span style="font-family:Times New Roman;font-weight:normal"><ix:nonNumeric name="dei:EntityEmergingGrowthCompany" contextRef="duration_2020-06-22_to_2020-06-22" format="ixt-sec:boolballotbox">&#9744;</ix:nonNumeric></span></p> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0px;margin-top:9pt">If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.&#160;&#160;<span style="font-family:Times New Roman;font-weight:normal">&#9744;</span></p> <p style="margin-bottom:0px;margin-top:10pt"></p> <div style="text-align:center"> <p style="line-height:0.5pt;border-bottom:0.50px solid #000000;width:100%;margin-top:0pt;margin-bottom:0pt">&#160;</p></div> <div style="text-align:center"> <p style="line-height:3pt;border-bottom:0.50px solid #000000;width:100%;margin-top:0pt;margin-bottom:2pt">&#160;</p></div> <div></div> <p style="margin-top:1em;margin-bottom:0em"></p></div>

<p style="margin-top:1em; margin-bottom:0em; page-break-before:always"> </p>
<hr style="color:#999999;height:3px;width:100%" />
 <div style="font-size:10pt;width:8.5in;margin:0 auto">
<table cellspacing="0" cellpadding="0" border="0" style="font-family:Times New Roman;font-weight:bold;border-collapse:collapse;text-align:left;width:100%;font-size:10pt;margin-bottom:0pt;margin-top:0pt;border:0;">
<tr style="page-break-inside:avoid;">
<td style="width:10%;vertical-align:top;white-space:nowrap;">Item&#160;8.01. </td>
<td style="font-family:Times New Roman;font-weight:bold;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">Other Events.</td> </tr> </table> <p style="font-family:Times New Roman;text-align:left;text-indent:4%;font-size:10pt;margin-bottom:0px;margin-top:6pt">On June&#160;22, 2020, Roper Technologies, Inc. (the &#8220;Company&#8221;) consummated the issuance and sale of $600,000,000 aggregate principal amount of its 2.000% Senior Notes due 2030 (the &#8220;Notes&#8221;) pursuant to an Underwriting Agreement, dated June&#160;8, 2020, by and among the Company and BofA Securities, Inc., J.P. Morgan Securities LLC, and Wells Fargo Securities, LLC, as representatives of the several underwriters listed in Schedule 1 thereto. The Notes have been issued pursuant to an Indenture, dated as of November&#160;26, 2018, between the Company and Wells Fargo Bank, National Association, as trustee (the &#8220;Indenture&#8221;). </p> <p style="font-family:Times New Roman;text-align:left;text-indent:4%;font-size:10pt;margin-bottom:0px;margin-top:12pt">The Notes have been offered pursuant to the Company&#8217;s Registration Statement on Form <span style="white-space:nowrap">S-3ASR,</span> dated November&#160;26, 2018 (Registration&#160;No.<span style="white-space:nowrap">&#160;333-228532),</span> including the prospectus contained therein (the &#8220;Registration Statement&#8221;), and a related preliminary prospectus supplement, dated June&#160;8, 2020, and a final prospectus supplement, dated June&#160;8, 2020. </p> <p style="font-family:Times New Roman;text-align:left;text-indent:4%;font-size:10pt;margin-bottom:0px;margin-top:12pt">The material terms and conditions of the Notes are set forth in the Officer&#8217;s Certificate filed herewith as Exhibit 4.1 and incorporated herein by reference and in the Indenture filed as Exhibit 4.1 to the Registration Statement. </p> <p style="margin-bottom:0px;margin-top:12pt"></p>
<table cellspacing="0" cellpadding="0" border="0" style="font-family:Times New Roman;font-weight:bold;border-collapse:collapse;text-align:left;width:100%;font-size:10pt;margin-bottom:0pt;margin-top:0pt;border:0;">
<tr style="page-break-inside:avoid;">
<td style="width:10%;vertical-align:top;white-space:nowrap;">Item&#160;9.01. </td>
<td style="font-family:Times New Roman;font-weight:bold;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">Financial Statements and Exhibits.</td> </tr> </table> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0px;margin-top:6pt">(d) <span style="text-decoration:underline">Exhibits</span>. </p>
<table cellspacing="0" cellpadding="0" border="0" style="font-size:10pt;border-collapse:separate;border-spacing:0;width:100%;margin-bottom:0px;margin-top:6pt;margin-left:auto;margin-right:auto">
<tr>
<td></td>
<td></td>
<td></td>
<td style="width:3%;"></td>
<td style="width:94%;"></td> </tr>
<tr style="font-size:1pt;">
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="white-space:nowrap;vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="white-space:nowrap;vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt">&#160;&#160;4.1 </p> </td>
<td style="white-space:nowrap;vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;margin-left:0.00em;text-align:left;text-indent:0.00em;font-size:10pt;margin-bottom:0pt;margin-top:0pt"> <a href="d852216dex41.htm">Officer&#8217;s Certificate setting forth the terms of the Notes (with form of Notes attached). </a> </p> </td> </tr>
<tr style="font-size:1pt;">
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="white-space:nowrap;vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="white-space:nowrap;vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt">&#160;&#160;5.1 </p> </td>
<td style="white-space:nowrap;vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;margin-left:0.00em;text-align:left;text-indent:0.00em;font-size:10pt;margin-bottom:0pt;margin-top:0pt"> <a href="d852216dex51.htm">Opinion of Jones Day. </a> </p> </td> </tr>
<tr style="font-size:1pt;">
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="white-space:nowrap;vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="white-space:nowrap;vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt">23.1 </p> </td>
<td style="white-space:nowrap;vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;margin-left:0.00em;text-align:left;text-indent:0.00em;font-size:10pt;margin-bottom:0pt;margin-top:0pt"> <a href="d852216dex51.htm">Consent of Jones Day (contained in Exhibit 5.1). </a> </p> </td> </tr>
<tr style="font-size:1pt;">
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td>
<td style="height:8px;">&#160;</td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="white-space:nowrap;vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="white-space:nowrap;vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt">104 </p> </td>
<td style="white-space:nowrap;vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;margin-left:0.00em;text-align:left;text-indent:0.00em;font-size:10pt;margin-bottom:0pt;margin-top:0pt">Cover Page Interactive Data File (embedded within the Inline XBRL document). </p> </td> </tr> </table> <div></div> <p style="margin-top:1em;margin-bottom:0em"></p>
 </div>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always"> </p>
<hr style="color:#999999;height:3px;width:100%" />
 <div style="font-size:10pt;width:8.5in;margin:0 auto"> <p style="font-family:Times New Roman;font-weight:bold;text-align:center;text-decoration:underline;font-size:10pt;margin-bottom:0pt;margin-top:0pt">Signatures </p> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0px;margin-top:12pt">Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized. </p>
<table cellspacing="0" cellpadding="0" border="0" style="font-size:10pt;border-collapse:separate;border-spacing:0;width:100%;margin-bottom:0px;margin-top:12pt;margin-left:auto;margin-right:auto">
<tr>
<td style="width:9%;"></td>
<td style="width:1%;"></td>
<td></td>
<td></td>
<td></td>
<td style="width:1%;"></td>
<td style="width:58%;"></td>
<td style="width:1%;"></td>
<td style="width:14%;"></td>
<td style="width:1%;"></td>
<td style="width:12%;"></td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;font-weight:bold;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt">Roper Technologies, Inc. </p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt">(Registrant) </p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td> </tr>
<tr style="font-size:1pt;">
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td>
<td style="height:16px;">&#160;</td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt">BY: </p> </td>
<td style="vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"> <span style="text-decoration:underline">/S/ Robert C. Crisci&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;</span> </p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt">Date:&#160;June&#160;22,&#160;2020 </p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt">Robert C. Crisci, </p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td> </tr>
<tr style="page-break-inside:avoid;font-size:10pt;">
<td style="vertical-align:top;padding:0;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:top;padding:0;font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;padding:0;text-align:left"> <p style="font-family:Times New Roman;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;padding-right:2pt;margin-bottom:0pt;margin-top:0pt;">&#160;</td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt">Executive Vice President and Chief Financial Officer </p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td>
<td style="vertical-align:top;">&#160;</td>
<td style="vertical-align:bottom;"> <p style="font-family:Times New Roman;text-align:left;font-size:10pt;margin-bottom:0pt;margin-top:0pt"></p> </td> </tr> </table> <div></div> <p style="margin-top:1em;margin-bottom:0em"></p>
 </div>
 </body></html>
</XBRL>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-4.1
<SEQUENCE>2
<FILENAME>d852216dex41.htm
<DESCRIPTION>EX-4.1
<TEXT>
<HTML><HEAD>
<TITLE>EX-4.1</TITLE>
</HEAD>
 <BODY BGCOLOR="WHITE">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="right"><B>Exhibit 4.1 </B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><B>ROPER TECHNOLOGIES, INC. </B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><B><U>Officer&#146;s Certificate </U></B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">June&nbsp;22, 2020 </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Reference is
made to the Indenture, dated as of November&nbsp;26, 2018 (the &#147;Indenture&#148;), between Roper Technologies, Inc., a Delaware corporation (the &#147;Issuer&#148;), and Wells Fargo Bank, National Association, as trustee (the
&#147;Trustee&#148;). The Trustee is the trustee for any and all securities issued under the Indenture. Pursuant to Sections 2.01, 2.03 and 2.04 of the Indenture, the undersigned officer does hereby certify, in connection with the Issuer&#146;s
issuance of $600,000,000 aggregate principal amount of its 2.000% Senior Notes due 2030 (the &#147;Notes&#148;), that the terms of the Notes are as follows: </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Capitalized terms used but not otherwise defined herein shall have the meanings specified in the Indenture. </P>
<P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="96%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" ALIGN="center">


<TR>

<TD WIDTH="28%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="71%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><B><I>Notes</I></B></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top"></TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Title:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">2.000% Senior Notes due 2030</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Issuer:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">Roper Technologies, Inc.</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Trustee, Registrar, Transfer Agent, Authenticating Agent, and Paying Agent:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom">Wells Fargo Bank, National Association</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Aggregate Principal Amount at Maturity:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom">$600,000,000</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Principal Payment Date:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">June&nbsp;30, 2030</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Interest:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">2.000% per annum</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Date from which Interest will Accrue:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">June&nbsp;22, 2020</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Interest Payment Dates:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">June&nbsp;30 and December&nbsp;30, beginning December&nbsp;30, 2020</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Optional Redemption:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">The Issuer may at its option redeem the Notes, in whole or in part, at any time or from time to time prior to March&nbsp;30, 2030 (three months prior to maturity date), on at least 15 days&#146;, but not more than 60 days&#146;,
prior notice mailed to the registered address of each holder of the Notes at a redemption price, calculated by the Issuer, equal to the greater of:</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">(i) 100% of the principal amount of the Notes being redeemed; or</TD></TR></TABLE>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">

<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="96%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" ALIGN="center">


<TR>

<TD WIDTH="28%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="71%"></TD></TR>

<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">(ii) the sum of the present values of the remaining scheduled payments of principal and interest thereon (assuming, for this purpose, that
such Notes matured on March&nbsp;30, 2030) discounted to the redemption date, on a semiannual basis (assuming a <FONT STYLE="white-space:nowrap">360-day</FONT> year consisting of twelve <FONT STYLE="white-space:nowrap">30-day</FONT> months) at a
rate equal to the sum of the Treasury Rate (as defined in the Notes) plus 20 basis points, plus, in each case, accrued and unpaid interest thereon to the redemption date.</P> <P STYLE="font-size:6pt; margin-top:0pt; margin-bottom:0pt">&nbsp;</P>
<P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:10pt; font-family:Times New Roman">At any time on or after March&nbsp;30, 2030 (three months prior to the maturity date), the Issuer may redeem the Notes, in whole or in part, at a redemption
price equal to 100% of the principal amount of the Notes, plus accrued and unpaid interest thereon to the date of redemption.</P></TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Conversion:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">None</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Sinking Fund:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">None</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Denominations:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">$2,000 and multiples of $1,000 thereafter</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="8"></TD>
<TD HEIGHT="8" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"><I>Miscellaneous:</I></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="top">The terms of the Notes shall include such other terms as are set forth in the form of Notes attached hereto as <U>Exhibit A</U> and in the Indenture.</TD></TR>
</TABLE> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Subject to the representations, warranties and covenants described in the Indenture, as amended or
supplemented from time to time, the Issuer shall be entitled, subject to authorization by the Board of Directors of the Issuer and an Officer&#146;s Certificate, to issue additional notes from time to time under the series of Notes issued hereby.
Any such additional notes of the series shall have identical terms as the Notes issued on the issue date, other than with respect to the date of issuance and the issue price (together, the &#147;Additional Notes&#148;). Any Additional Notes will be
issued in accordance with Section&nbsp;2.03 of the Indenture. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Such officer has read and understands the provisions of the Indenture and
the definitions relating thereto. The statements made in this Officer&#146;s Certificate are based upon the examination of the provisions of the Indenture and upon the relevant books and records of the Issuer. In such officer&#146;s opinion, he has
made such examination or investigation as is necessary to enable such officer to express an informed opinion as to whether or not the covenants and conditions of such Indenture relating to the issuance and authentication of the Notes have been
complied with. In such officer&#146;s opinion, such covenants and conditions have been complied with. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">2 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">IN WITNESS WHEREOF, I have signed this Officer&#146;s Certificate. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Dated: June&nbsp;22, 2020 </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P><DIV ALIGN="right">
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="40%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt">


<TR>

<TD WIDTH="12%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="87%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top" COLSPAN="3">ROPER TECHNOLOGIES, INC.</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="16"></TD>
<TD HEIGHT="16" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom">By:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE="margin-top:0pt; margin-bottom:1pt; border-bottom:1px solid #000000; font-size:10pt; font-family:Times New Roman">/s/ John Stipancich</P></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom">Name:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom">John Stipancich</TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top">Title:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Executive Vice President, General Counsel</P>
<P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:10pt; font-family:Times New Roman">and Corporate Secretary</P></TD></TR>
</TABLE></DIV>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><U>Exhibit A </U></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">Form of Notes </P>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">[Form of Global Note] </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">UNLESS THIS NOTE IS PRESENTED BY AN AUTHORIZED REPRESENTATIVE OF THE DEPOSITORY TRUST COMPANY, A NEW YORK CORPORATION (&#147;DTC&#148;), TO
THE ISSUER OR ITS AGENT FOR REGISTRATION OF TRANSFER, EXCHANGE OR PAYMENT, AND ANY NOTE ISSUED IS REGISTERED IN THE NAME OF CEDE&nbsp;&amp; CO. OR IN SUCH OTHER NAME AS IS REQUESTED BY AN AUTHORIZED REPRESENTATIVE OF DTC (AND ANY PAYMENT IS MADE TO
CEDE&nbsp;&amp; CO. OR TO SUCH OTHER ENTITY AS IS REQUESTED BY AN AUTHORIZED REPRESENTATIVE OF DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR OTHERWISE BY OR TO ANY PERSON IS WRONGFUL INASMUCH AS THE REGISTERED OWNER HEREOF,
CEDE&nbsp;&amp; CO., HAS A BENEFICIAL INTEREST HEREIN. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">TRANSFERS OF THIS NOTE ARE LIMITED TO TRANSFERS IN WHOLE, BUT NOT IN PART, TO
NOMINEES OF DTC OR TO A SUCCESSOR THEREOF OR SUCH SUCCESSOR&#146;S NOMINEE AND TRANSFERS OF PORTIONS OF THIS GLOBAL NOTE ARE LIMITED TO TRANSFERS MADE IN ACCORDANCE WITH THE TRANSFER PROVISIONS OF THE INDENTURE. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">IN CONNECTION WITH ANY TRANSFER, THE HOLDER WILL DELIVER TO THE REGISTRAR AND TRANSFER AGENT SUCH CERTIFICATES AND OTHER INFORMATION AS SUCH
TRANSFER AGENT MAY REASONABLY REQUIRE TO CONFIRM THAT THE TRANSFER COMPLIES WITH THE FOREGOING RESTRICTIONS. </P>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><B>ROPER TECHNOLOGIES, INC. </B></P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><B>2.000% Senior Notes due 2030 </B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="right">CUSIP No. 776743AJ5 </P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="right">ISIN No.
US776743AJ55 </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="right">$<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U> </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">ROPER TECHNOLOGIES, INC., a Delaware corporation (the &#147;<B>Issuer</B>&#148;), for value received promises to pay to CEDE&nbsp;&amp; CO. or
registered assigns the principal sum of <U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U> on June&nbsp;30, 2030. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Interest Payment Dates: June&nbsp;30 and December&nbsp;30 (each, an &#147;<B>Interest Payment Date</B>&#148;), commencing on December&nbsp;30,
2020. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Interest Record Dates: June&nbsp;15 and December&nbsp;15 (each, an &#147;<B>Interest Record Date</B>&#148;). </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Reference is made to the further provisions of this Note contained herein, which will for all purposes have the same effect as if set forth at
this place. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">2 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">IN WITNESS WHEREOF, the Issuer has caused this Note to be signed manually or by facsimile by
its duly authorized officers. </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P><DIV ALIGN="right">
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="40%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt">


<TR>

<TD WIDTH="12%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="87%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top" COLSPAN="3">ROPER TECHNOLOGIES, INC.</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="16"></TD>
<TD HEIGHT="16" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top">By:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE="margin-top:0pt; margin-bottom:1pt; border-bottom:1px solid #000000; font-size:10pt; font-family:Times New Roman">&nbsp;</P></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom">Name:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom">John Stipancich</TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom">Title:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom">Executive Vice President, General</TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom">Counsel and Corporate Secretary</TD></TR>
</TABLE></DIV>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">This is one of the Notes of the series designated herein and referred to in the
within-mentioned Indenture. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Dated: </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P><DIV ALIGN="right">
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="40%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt">


<TR>

<TD WIDTH="7%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="92%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom" COLSPAN="3">Wells Fargo Bank, National Association,</TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom" COLSPAN="3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;as Trustee</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="16"></TD>
<TD HEIGHT="16" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top">By:</TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE="margin-top:0pt; margin-bottom:1pt; border-bottom:1px solid #000000; font-size:10pt; font-family:Times New Roman">&nbsp;</P></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom">Authorized Signatory</TD></TR>
</TABLE></DIV>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">(REVERSE OF NOTE) </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">ROPER TECHNOLOGIES, INC. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">2.000%
Senior Notes due 2030 </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">1.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Interest. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Roper Technologies, Inc. (the &#147;<B>Issuer</B>&#148;) promises to pay interest on the principal amount of this Note at the rate per annum
described above (the &#147;<B>Original Interest Rate</B>&#148;). Cash interest on the Notes will accrue from the most recent date to which interest has been paid; or, if no interest has been paid, from June&nbsp;22, 2020. Interest on this Note will
be paid to but excluding the relevant Interest Payment Date or on such earlier date as the principal amount shall become due in accordance with the provisions hereof. The Issuer will pay interest semi-annually in arrears on each Interest Payment
Date, commencing December&nbsp;30, 2020. Interest will be computed on the basis of a <FONT STYLE="white-space:nowrap">360-day</FONT> year consisting of twelve <FONT STYLE="white-space:nowrap">30-day</FONT> months. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Issuer shall pay interest on overdue principal from time to time on demand at the rate borne by the Notes and on overdue installments of
interest (without regard to any applicable grace periods) to the extent lawful. </P> <P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">2.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Paying Agent. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Initially, Wells Fargo Bank, National Association (the &#147;<B>Trustee</B>&#148;) will act as paying agent. The Issuer may change any paying
agent without notice to the Holders. </P> <P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">3.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Indenture; Defined Terms. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">This Note is one of the 2.000% Notes due 2030 issued under the indenture, dated as of November&nbsp;26, 2018 (the &#147;<B>Base
Indenture</B>&#148;), between the Issuer and the Trustee, and established pursuant to an Officer&#146;s Certificate, dated June&nbsp;22, 2020, issued pursuant to Sections 2.01, 2.03 and 2.04 thereof (together, the &#147;<B>Indenture</B>&#148;). This
Note is a &#147;Security&#148; and the Notes are &#147;Securities&#148; under the Indenture. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">For purposes of this Note, unless otherwise
defined herein, capitalized terms herein are used as defined in the Indenture. The terms of the Notes include those stated in the Indenture and those made part of the Indenture by reference to the Trust Indenture Act of 1939 (15 U.S.C. Sections
77aaa-77bbbb) (the &#147;<B>TIA</B>&#148;) as in effect on the date on which the Indenture was qualified under the TIA. Notwithstanding anything to the contrary herein, the Notes are subject to all such terms, and Holders of Notes are referred to
the Indenture and the TIA for a statement of them. To the extent the terms of the Indenture and this Note are inconsistent, except for terms as described under the section titled &#147;8. Optional Redemption&#148; (in which case this Note shall
govern), the terms of the Indenture shall govern. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">1 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">

<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">4.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Denominations; Transfer; Exchange. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Notes are in registered form, without coupons, in denominations of $2,000 and multiples of $1,000 thereafter. A Holder shall register the
transfer or exchange of Notes in accordance with the Indenture. The Issuer may require a Holder, among other things, to furnish appropriate endorsements and transfer documents and to pay certain transfer taxes or similar governmental charges payable
in connection therewith as permitted by the Indenture. The Issuer need not issue, authenticate, register the transfer of or exchange any Notes or portions thereof for a period of fifteen (15)&nbsp;days before the mailing of a notice of redemption,
nor need the Issuer register the transfer of or exchange any Note selected for redemption, in whole or in part. </P> <P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">5.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Limitations on Liens. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Issuer shall not issue, incur, create, assume or guarantee any Indebtedness secured by a Lien upon any Principal Property or upon any of
the Capital Stock or Indebtedness of any of its Significant Subsidiaries (whether such Principal Property, or Capital Stock or Indebtedness is then existing or owed or is thereafter created or acquired) without in any such case effectively
providing, concurrently with the issuance, incurrence, creation, assumption or guaranty of any such secured Indebtedness, or the grant of such Lien, that the Notes (together, if the Issuer shall so determine, with any other Indebtedness of or
guarantee by the Issuer ranking equally with the Notes) shall be secured equally and ratably with (or, at the option of the Issuer, prior to) such secured Indebtedness, except: </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(i)&nbsp;&nbsp;&nbsp;&nbsp;Liens existing on the Issue Date; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(ii)&nbsp;&nbsp;&nbsp;&nbsp;Liens on assets or property of a Person at the time it becomes a Subsidiary, securing Indebtedness
of such Person, provided such Indebtedness was not incurred in connection with such Person or entity becoming a Subsidiary and such Liens do not extend to any assets other than those of the person becoming a Subsidiary; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(iii)&nbsp;&nbsp;&nbsp;&nbsp;Liens on property or assets of a Person existing at the time such person is merged into or
consolidated with the Issuer or any of its Subsidiaries, or at the time of a sale, lease or other disposition of all or substantially all of the properties or assets of a person to the Issuer or any of its Subsidiaries, provided that such Lien was
not incurred in anticipation of the merger, consolidation, or sale, lease, other disposition or other such transaction by which such Person was merged into or consolidated with the Issuer or any of its Subsidiaries; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(iv)&nbsp;&nbsp;&nbsp;&nbsp;Liens existing on assets created at the time of, or within the 12 months following, the
acquisition, purchase, lease, improvement or development of such assets to secure all or a portion of the purchase price or lease for, or the costs of improvement or development of (in each case including related costs and expenses), such assets;
</P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">2 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(v) &nbsp;&nbsp;&nbsp;&nbsp;Liens to secure any extension, renewal,
refinancing or refunding (or successive extensions, renewals, refinancings or refundings), in whole or in part, of any Indebtedness secured by Liens referred to in this Section&nbsp;5, so long as such Lien is limited to all or part of substantially
the same property which secured the Lien extended, renewed or replaced, and the amount of Indebtedness secured is not increased (other than by the amount equal to any costs and expenses (including any premiums, fees or penalties) incurred in
connection with any extension, renewal, refinancing or refunding); </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(vi) &nbsp;&nbsp;&nbsp;&nbsp;Liens for taxes not yet
due or that are being contested in good faith by appropriate proceedings, provided that adequate reserves with respect thereto are maintained on the Issuer&#146;s books in conformity with generally accepted accounting principles; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(vii) &nbsp;&nbsp;&nbsp;&nbsp;Liens imposed by law, such as carriers&#146;, warehousemen&#146;s, mechanics&#146;,
materialmen&#146;s, repairmen&#146;s or other like Liens arising in the ordinary course of business that are not overdue for a period of more than 30 days or that are being contested in good faith by appropriate proceedings; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(viii) &nbsp;&nbsp;&nbsp;&nbsp;Liens to secure the performance of bids, trade contracts, leases, statutory obligations, surety
and appeal bonds, performance bonds and other obligations of a like nature incurred in the ordinary course of business; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(ix) &nbsp;&nbsp;&nbsp;&nbsp;Liens in favor of only the Issuer or one or more of its Subsidiaries; </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(x) &nbsp;&nbsp;&nbsp;&nbsp;Liens in favor of the Trustee securing Indebtedness owed under the Indenture to the Trustee and
granted in accordance with the Indenture; and </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(xi) &nbsp;&nbsp;&nbsp;&nbsp;Liens to secure Hedging Obligations. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Notwithstanding the restrictions in this Section&nbsp;5, the Issuer will be permitted to incur Indebtedness, secured by Liens otherwise
prohibited by this Section&nbsp;5, which, together with the value of Attributable Debt outstanding pursuant to Sale and Lease-Back Transactions permitted pursuant to Section&nbsp;6(iii), do not exceed 15% of Consolidated Net Tangible Assets measured
at the date of incurrence of the Lien. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">For purposes of this Section&nbsp;5, the following terms will be applicable: </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Attributable Debt</B>&#148; with regard to a Sale and Lease-Back Transaction with respect to any Principal Property means, at the
time of determination, the present value of the total net amount of rent required to be paid under such lease during the remaining term thereof (including any period for which such lease has been extended), discounted at the rate of interest set
forth or implicit in the terms of such lease (or, if not practicable to determine such rate, the weighted average interest rate per annum borne by the Securities then outstanding under the Indenture (including the Notes) and any securities then
outstanding under the Indenture, dated as of August&nbsp;4, 2008, between Roper Industries, Inc. (now known as Roper Technologies, Inc.) and the Trustee) compounded semi-annually. In the case of any lease which is terminable by the lessee upon the
payment of a penalty, such net amount shall be the lesser of (x)&nbsp;the net amount determined assuming termination upon the first date such lease may be terminated (in which case </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">3 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">
the net amount shall also include the amount of the penalty, but shall not include any rent that would be required to be paid under such lease subsequent to the first date upon which it may be so
terminated) or (y)&nbsp;the net amount determined assuming no such termination. </P> <P STYLE="margin-top:18pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Capital Stock</B>&#148; means: </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(a) &nbsp;&nbsp;&nbsp;&nbsp;with respect to any person that is a corporation, any and all shares, interests, participations or
other equivalents (however designated and whether or not voting) of corporate stock, including each class of common stock and preferred stock of such person, and all options, warrants or other rights to purchase or acquire any of the foregoing; and
</P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(b) &nbsp;&nbsp;&nbsp;&nbsp;with respect to any person that is not a corporation, any and all partnership, membership or
other equity interests of such person, and all options, warrants or other rights to purchase or acquire any of the foregoing. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Consolidated Net Tangible Assets</B>&#148; means, as of any date on which the Issuer effects a transaction requiring such
Consolidated Net Tangible Assets to be measured hereunder, the aggregate amount of assets (less applicable reserves) after deducting therefrom: (a)&nbsp;all current liabilities, except for current maturities of long-term debt and obligations under
capital leases; and (b)&nbsp;intangible assets (including goodwill), to the extent included in said aggregate amount of assets, all as set forth on the Issuer&#146;s most recent consolidated balance sheet and computed in accordance with generally
accepted accounting principles in the United States of America applied on a consistent basis. </P> <P STYLE="margin-top:18pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Hedging Obligations</B>&#148;
means: </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(a) &nbsp;&nbsp;&nbsp;&nbsp;interest rate swap agreements (whether from fixed to floating or from floating to
fixed), interest rate cap agreements and interest rate collar agreements; </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(b) &nbsp;&nbsp;&nbsp;&nbsp;other agreements or
arrangements designed to manage interest rates or interest rate risk; </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(c) &nbsp;&nbsp;&nbsp;&nbsp;other agreements or
arrangements designed to protect against fluctuations in currency exchange rates or commodity prices; and </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(d)
&nbsp;&nbsp;&nbsp;&nbsp;other agreements or arrangements designed to protect against fluctuations in equity prices. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Principal
Property</B>&#148; means the land, improvements, buildings, fixtures and equipment (including any leasehold interest therein) constituting the principal corporate office of the Issuer, any manufacturing plant, or any manufacturing, distribution or
research facility (in each case, whether now owned or hereafter acquired) which is owned or leased by the Issuer, unless the Board of Directors of the Issuer has determined in good faith that such office, plant or facility is not of material
importance to the total business conducted by the Issuer and the Subsidiaries of the Issuer taken as a whole. With respect to any Sale and Lease-Back Transaction or series of related Sale and Lease-Back Transactions, the determination of whether any
property is a Principal Property shall be determined by reference to all properties affected by such transaction or series of transactions. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">4 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; margin-left:4%; font-size:10pt; font-family:Times New Roman">6. &nbsp;&nbsp;&nbsp;&nbsp;Limitation on Sale and Lease-back Transactions. </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Issuer shall not enter into any Sale and Lease-Back Transaction with respect to any Principal Property, other than any such Sale and
Lease-Back Transaction involving a lease for a term of not more than three years or any such Sale and Lease-Back Transaction between the Issuer and one of its Subsidiaries or between its Subsidiaries, unless: </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(i) &nbsp;&nbsp;&nbsp;&nbsp;the Issuer or such Subsidiary, as applicable, could have incurred Indebtedness secured by a Lien on
the Principal Property involved in such Sale and Lease-Back Transaction in an amount at least equal to the Attributable Debt with respect to such Sale and Lease-Back Transaction, without equally and ratably securing the Notes, pursuant to
Section&nbsp;5 hereto; or </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(ii) &nbsp;&nbsp;&nbsp;&nbsp;the proceeds of such Sale and Lease-Back Transaction are at least
equal to the fair market value of the affected Principal Property (as determined in good faith by the Board of Directors of the Issuer) and the Issuer applies an amount equal to the net proceeds of such Sale and Lease-Back Transaction within 365
days of such Sale and Lease-Back Transaction to any of (or a combination of): </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">1. &nbsp;&nbsp;&nbsp;&nbsp;the prepayment or
retirement of the Securities then outstanding under the Indenture (including the Notes); </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">2.&nbsp;&nbsp;&nbsp;&nbsp; the
prepayment or retirement (other than any mandatory retirement, mandatory prepayment or sinking fund payment or by payment at maturity) of other Indebtedness of the Issuer or of one of its Subsidiaries (other than Indebtedness that is subordinated to
the Securities then outstanding under the Indenture (including the Notes) or Indebtedness owed to the Issuer or one of its Subsidiaries) that matures more than 12 months after its creation; or </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:9%; text-indent:4%; font-size:10pt; font-family:Times New Roman">3. &nbsp;&nbsp;&nbsp;&nbsp;the purchase, construction, development, expansion or improvement of other comparable property. </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(iii) &nbsp;&nbsp;&nbsp;&nbsp;Notwithstanding the restrictions in subsections (i)&nbsp;and (ii) above, the Issuer will be
permitted to enter into Sale and Lease-Back Transactions otherwise prohibited by Section&nbsp;6(i) and (ii)&nbsp;hereof, which, together with all of the Indebtedness outstanding pursuant to the second paragraph of Section&nbsp;5, do not exceed 15%
of Consolidated Net Tangible Assets measured at the closing date of the Sale and Lease-Back Transaction. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">5 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">For purposes of this Section&nbsp;6, see certain applicable definitions contained in
Section&nbsp;5 and the following definition for &#147;Sale and Lease-Back Transaction&#148;: </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Sale and Lease-Back
Transaction</B>&#148; means any arrangement with any Person providing for the leasing by the Issuer of any Principal Property, whether now owned or hereafter acquired, which Principal Property has been or is to be sold or transferred by the Issuer
to such Person. </P> <P STYLE="margin-top:18pt; margin-bottom:0pt; margin-left:4%; font-size:10pt; font-family:Times New Roman">7. Amendment; Supplement; Waiver. </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Subject to certain exceptions, the Notes and the provisions of the Indenture relating to the Notes may be amended or supplemented and any
existing default or Event of Default or compliance with certain provisions may be waived with the written consent of the Holders of at least a majority in aggregate principal amount of all series of Outstanding Securities (including the Notes) under
the Indenture that are affected by such amendment, supplement or waiver (voting together as a single class). Without notice to or consent of any Holder, the parties thereto may amend or supplement the Indenture and the Notes to, among other things,
cure any ambiguity, defect or inconsistency or comply with any requirements of the Commission in connection with the qualification of the Indenture under the TIA, or make any other change that does not adversely affect the rights of any Holder of a
Note. </P> <P STYLE="margin-top:18pt; margin-bottom:0pt; margin-left:4%; font-size:10pt; font-family:Times New Roman">8. Optional Redemption. </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Issuer may redeem the Notes, in whole or in part, at its option, at any time or from time to time prior to March&nbsp;30, 2030 (three
months prior to maturity date), on at least 15 days&#146;, but not more than 60 days&#146;, prior notice mailed to the registered address of each Holder of the Notes (any such date of redemption, a &#147;<B>Redemption Date</B>&#148;). The redemption
price will be equal to the greater of: </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(i) &nbsp;&nbsp;&nbsp;&nbsp;100% of the principal amount of the Notes to be
redeemed; </P> <P STYLE="margin-top:0pt; margin-bottom:0pt; margin-left:4%; font-size:10pt; font-family:Times New Roman">or </P>
<P STYLE="margin-top:6pt; margin-bottom:0pt; margin-left:4%; text-indent:4%; font-size:10pt; font-family:Times New Roman">(ii) &nbsp;&nbsp;&nbsp;&nbsp;the sum of the present values of the Remaining Scheduled Payments discounted to the Redemption
Date, on a semi-annual basis (assuming a <FONT STYLE="white-space:nowrap">360-day</FONT> year consisting of twelve <FONT STYLE="white-space:nowrap">30-day</FONT> months), at a rate equal to the sum of the Treasury Rate plus 20 basis points, plus, in
each case, accrued and unpaid interest thereon to the Redemption Date. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">At any time on or after March&nbsp;30, 2030 (three months prior to
the maturity date), the Issuer may redeem the Notes, in whole or in part, at a redemption price equal to 100% of the principal amount of the Notes, plus accrued and unpaid interest thereon to the date of redemption. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Notice of any redemption of Notes in connection with a corporate transaction (including any equity offering, an incurrence of indebtedness or
a transaction involving a change of control of the Issuer) may, at the Issuer&#146;s discretion, be given prior to the completion thereof and any such redemption or notice may, at the Issuer&#146;s discretion, be subject to one or more conditions
precedent, including, but not limited to, completion of the related transaction. If such redemption or purchase is so subject to satisfaction of one or more conditions precedent, such notice shall describe each such condition and such notice may be
rescinded in the event that any or all such </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">6 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">
conditions shall not have been satisfied by the Redemption Date. In addition, the Issuer may provide in such notice that payment of the redemption price and performance of its obligations with
respect to such redemption may be performed by another person. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">For purposes of this Section&nbsp;8, the following terms will be
applicable: </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Comparable Treasury Issue</B>&#148; means the United States Treasury security or securities selected by an
Independent Investment Banker as having an actual or interpolated maturity comparable to the remaining term of the Notes to be redeemed (assuming, for this purpose, that such Notes matured on March&nbsp;30, 2030) that would be utilized, at the time
of selection and in accordance with customary financial practice, in pricing new issues of corporate debt securities of a comparable maturity to the remaining term of such Notes. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Comparable Treasury Price</B>&#148; means, with respect to any Redemption Date, (1)&nbsp;the average of the Reference Treasury Dealer
Quotations for such Redemption Date after excluding the highest and lowest of such Reference Treasury Dealer Quotations, or (2)&nbsp;if the Issuer obtains fewer than four such Reference Treasury Dealer Quotations, the average of all such quotations.
</P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Independent Investment Banker</B>&#148; means one of the Reference Treasury Dealers, appointed by the Issuer. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Reference Treasury Dealer</B>&#148; means each of (i)&nbsp;BofA Securities, Inc., J.P. Morgan Securities LLC and Wells Fargo
Securities, LLC, and their respective affiliates, and their respective successors and (ii)&nbsp;one other nationally recognized investment banking firm that is a primary U.S. government securities dealer in the City of New York (a &#147;<B>Primary
Treasury Dealer</B>&#148;) as selected by the Issuer<B><I>. </I></B>If any of the foregoing or their affiliates shall cease to be a Primary Treasury Dealer, the Issuer shall substitute therefor another Primary Treasury Dealer. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Reference Treasury Dealer Quotations</B>&#148; means, with respect to each Reference Treasury Dealer and any Redemption Date, the
average, as determined by the Issuer, of the bid and ask prices for the Comparable Treasury Issue (expressed in each case as a percentage of its principal amount) quoted in writing to the Trustee by such Reference Treasury Dealer at 3:30 p.m., New
York City time, on the third business day preceding such Redemption Date. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Remaining Scheduled Payments</B>&#148; means, with
respect to each Note to be redeemed, the remaining scheduled payments of principal of and interest on the Note that would be due after the related Redemption Date but for the redemption (assuming, for this purpose, that such Notes matured on
March&nbsp;30, 2030)<B><I>. </I></B>If that Redemption Date is not an Interest Payment Date with respect to a Note, the amount of the next succeeding scheduled interest payment on the Note will be reduced by the amount of interest accrued on the
Note to the Redemption Date. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Treasury Rate</B>&#148; means, with respect to any Redemption Date, the rate per annum equal to the
semiannual equivalent yield to maturity or interpolation (on a day count basis) of the interpolated Comparable Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as a percentage of its principal amount) equal to the
Comparable Treasury Price for such Redemption Date. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">7 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">On and after the Redemption Date, interest will cease to accrue on the Notes or any portion
of the Notes called for redemption, unless the Issuer defaults in the payment of the redemption price and accrued interest. On or before the Redemption Date, the Issuer will deposit with a paying agent or the Trustee money sufficient to pay the
redemption price of, and accrued interest on, the Notes to be redeemed on that date. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">If the Issuer chooses to redeem less than all of the
Notes, selection of the Notes for redemption will be made by the Trustee in compliance with the requirements of the principal national securities exchange, if any, on which the Notes are listed and in accordance with the procedures of the
depositary; or, if such Notes are not so listed, on a pro rata basis, by lot or by such method as the Trustee shall deem fair and appropriate. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">No Notes of a principal amount of $2,000 or less shall be redeemed in part. Notice of redemption will be mailed by first-class mail at least
15 but not more than 60 days before the Redemption Date to each Holder of Notes to be redeemed at its registered address. If any Note is to be redeemed in part only, the notice of redemption that relates to such Note shall state the portion of the
principal amount thereof to be redeemed. A new Note in principal amount equal to the unredeemed portion thereof will be issued in the name of the Holder thereof upon cancellation of the original Note. On and after the Redemption Date, interest will
cease to accrue on Notes or portions thereof called for redemption as long as the Issuer has deposited with the paying agent funds in satisfaction of the applicable redemption price. </P>
<P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">9.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Offer to Repurchase Upon Change of Control. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Upon the occurrence of a Change of Control Triggering Event with respect to the Notes, unless the Issuer shall have exercised its right
pursuant to Section&nbsp;8 hereof to redeem the Notes, each Holder of Notes shall have the right to require the Issuer to repurchase all or, at the Holder&#146;s option, any part (in a multiple of $1,000 provided that the remaining principal amount,
if any, following such repurchase shall be at least $2,000 or a multiple of $1,000 in excess thereof), of such Holder&#146;s Notes (a &#147;<B>Change of Control Offer</B>&#148;) at a repurchase price in cash equal to 101% of the aggregate principal
amount of the Notes repurchased plus accrued and unpaid interest, if any, on the Notes to be repurchased, to, but excluding, the repurchase date (the &#147;<B>Change of Control Payment</B>&#148;). </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Within 30 days following any Change of Control Triggering Event, the Issuer shall cause a notice to be mailed to Holders of the Notes, with a
copy to the Trustee, describing the transaction or transactions that constitute the Change of Control Triggering Event and offering to repurchase the Notes on the date specified in the notice, which date shall be no earlier than 30 days and no later
than 60 days from the date such notice is mailed (the &#147;<B>Change of Control Payment Date</B>&#148;), pursuant to the procedures required by the Indenture and described in such notice. The Issuer shall comply with the requirements of applicable
securities laws and regulations in connection with the repurchase of the Notes as a result of a Change of Control Triggering Event. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">8 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">On the Change of Control Payment Date, the Issuer shall, to the extent lawful: </P>
<P STYLE="font-size:6pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="2%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">(i)</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">accept for payment all Notes or portions of Notes properly tendered pursuant to the Change of Control Offer;
</P></TD></TR></TABLE> <P STYLE="font-size:6pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="2%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">(ii)</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">deposit with the paying agent an amount equal to the Change of Control Payment in respect of all Notes or
portions of Notes properly tendered; and </P></TD></TR></TABLE> <P STYLE="font-size:6pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="2%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">(iii)</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">deliver or cause to be delivered to the Trustee the Notes properly accepted together with an Officer&#146;s
Certificate stating the aggregate principal amount of Notes or portions of Notes being repurchased by the Issuer. </P></TD></TR></TABLE> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The
paying agent shall promptly mail, to each Holder who properly tendered Notes, the repurchase price for such Notes, and the Trustee shall promptly authenticate and mail (or cause to be transferred by book entry) to each such Holder a new Note equal
in principal amount to any unpurchased portion of the Notes surrendered, if any; provided that each new Note will be in a principal amount of $2,000 or a multiple of $1,000 in excess thereof. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Issuer shall not be required to make a Change of Control Offer upon a Change of Control Triggering Event if a third party makes the Change
of Control Offer in the manner, at the times and otherwise in compliance with the requirements set forth in the Indenture applicable to a Change of Control Offer made by the Issuer and purchases all Notes properly tendered and not withdrawn under
such Change of Control Offer. If such third party terminates or defaults its Change of Control Offer, the Issuer shall be required to make a Change of Control Offer treating the date of such termination or default as though it were the date of the
Change of Control Triggering Event. Notwithstanding anything to the contrary herein, a Change of Control Offer may be made in advance of a Change of Control Triggering Event, conditional upon such Change of Control Triggering Event, if a definitive
agreement is in place for the Change of Control at the time of making the Change of Control Offer. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The Issuer shall comply with the
requirements of Rule <FONT STYLE="white-space:nowrap">14e-1</FONT> under the Exchange Act and any other securities laws and regulations thereunder to the extent such laws and regulations are applicable in connection with the repurchase of the Notes
as a result of a Change of Control Triggering Event. To the extent that the provision of any such securities laws or regulations conflicts with this Section&nbsp;9, the Issuer shall comply with those securities laws and regulations and shall not be
deemed to have breached its obligations under this Section&nbsp;9 by virtue of any such conflict. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">For purposes of this Section&nbsp;9,
the following terms will be applicable: </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Change of Control</B>&#148; means the occurrence of any one of the following:
(1)&nbsp;the direct or indirect sale, lease, transfer, conveyance or other disposition (other than by way of merger, amalgamation, arrangement or consolidation), in one or a series of related transactions, of all or substantially all of the
Issuer&#146;s properties or assets and those of its subsidiaries, taken as a whole, to one or more persons, other than to the Issuer or one of its subsidiaries; (2)&nbsp;the consummation of any transaction including, without limitation, any merger,
amalgamation, arrangement or consolidation the result of which is that any person becomes the beneficial owner, directly or indirectly, of more than 50% of the Issuer&#146;s Voting Stock; (3)&nbsp;the Issuer consolidates with, or merge with or into,
any person, or any person consolidates with, or merges with or into, the </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">9 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">
Issuer, in any such event pursuant to a transaction in which any of the outstanding Voting Stock of the Issuer or of such other person is converted into or exchanged for cash, securities or other
property, other than any such transaction where the shares of the Issuer&#146;s Voting Stock outstanding immediately prior to such transaction constitute, or are converted into or exchanged for, a majority of the Voting Stock of the surviving person
immediately after giving effect to such transaction; or (4)&nbsp;the adoption of a plan relating to the Issuer&#146;s liquidation or dissolution. For the purposes of this definition, &#147;person&#148; and &#147;beneficial owner&#148; have the
meanings used in Section&nbsp;13(d) of the Exchange Act. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Change of Control Triggering Event</B>&#148; means the Notes cease to
be rated Investment Grade by both Rating Agencies on any date during the period (the &#147;<B>Trigger Period</B>&#148;) commencing 60 days prior to the first public announcement of the Change of Control or the Issuer&#146;s intention to effect a
Change of Control and ending 60 days following consummation of such Change of Control, which Trigger Period will be extended following consummation of a Change of Control for so long as any of the Rating Agencies has publicly announced that it is
considering a possible ratings change. Unless at least one Rating Agency is providing a rating for the Notes at the commencement of any Trigger Period, the Notes will be deemed to have ceased to be rated Investment Grade during that Trigger Period.
Notwithstanding the foregoing, no Change of Control Triggering Event will be deemed to have occurred in connection with any particular Change of Control unless and until such Change of Control has actually been consummated. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Investment Grade</B>&#148; means a rating equal to or higher than Baa3 (or the equivalent) by Moody&#146;s or <FONT
STYLE="white-space:nowrap">BBB-</FONT> (or the equivalent) by S&amp;P, and the equivalent investment grade credit rating from any replacement Rating Agency or Rating Agencies selected by the Issuer. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Moody&#146;s</B>&#148; means Moody&#146;s Investors Service, Inc., a subsidiary of Moody&#146;s Corporation, and its successors. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Rating Agencies</B>&#148; means (a)&nbsp;each of Moody&#146;s and S&amp;P; and (b)&nbsp;if any of the Rating Agencies ceases to
provide rating services to issuers or investors, and no Change of Control Triggering Event has occurred or is occurring, a &#147;nationally recognized statistical rating organization&#148; as defined in Section&nbsp;3(a)(62) of the Exchange Act that
is selected by the Issuer (as certified by a resolution of the Board of Directors) as a replacement for Moody&#146;s or S&amp;P, or both of them, as the case may be, and that is reasonably acceptable to the Trustee. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>S&amp;P</B>&#148; means S&amp;P Global Ratings, a division of S&amp;P Global Inc., and its successors. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">&#147;<B>Voting Stock</B>&#148; of any specified person as of any date means the capital stock of such person that is at the time entitled to
vote generally in the election of the Board of Directors of such person. </P> <P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">10.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Defaults and Remedies. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">If an Event of Default (other than certain bankruptcy Events of Default with respect to the Issuer) under the Indenture occurs with respect to
the Notes and is continuing, then the Trustee may and, at the direction of the Holders of at least 25% in principal amount of all series </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">10 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">
of Outstanding Securities (including the Notes) under the Indenture that are affected by such Event of Default (voting together as a single class), shall by written notice, require the Issuer to
repay immediately the entire principal amount of the Outstanding Notes, together with all accrued and unpaid interest and premium, if any. If a bankruptcy Event of Default with respect to the Issuer occurs and is continuing, then the entire
principal amount of the Outstanding Notes will automatically become due immediately and payable without any declaration or other act on the part of the Trustee or any Holder. Holders of Notes may not enforce the Indenture or the Notes except as
provided in the Indenture. The Trustee is not obligated to enforce the Indenture or the Notes unless it has received indemnity as it reasonably requires. The Indenture permits, subject to certain limitations therein provided, Holders of a majority
in aggregate principal amount of the Outstanding Securities (including the Notes) affected (voting together as a single class) to direct the Trustee in its exercise of any trust or power. The Trustee may withhold from Holders of Notes notice of
certain continuing defaults or Events of Default if it determines that withholding notice is in their interest. </P> <P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">11.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Authentication. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">This Note shall not be valid until the Trustee manually signs the certificate of authentication on this Note. </P>
<P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">12.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Abbreviations and Defined Terms. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Customary abbreviations may be used in the name of a Holder of a Note or an assignee, such as: TEN COM (= tenants in common), TEN ENT (=
tenants by the entireties), JT TEN (= joint tenants with right of survivorship and not as tenants in common), CUST (= Custodian), and U/G/M/A (= Uniform Gifts to Minors Act). </P> <P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>

<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">13.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">CUSIP Numbers. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Pursuant to a recommendation promulgated by the Committee on Uniform Security Identification Procedures, the Issuer has caused CUSIP numbers to
be printed on the Notes as a convenience to the Holders of the Notes. No representation is made as to the accuracy of such numbers as printed on the Notes and reliance may be placed only on the other identification numbers printed hereon. </P>
<P STYLE="font-size:18pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">14.</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">Governing Law. </P></TD></TR></TABLE>
<P STYLE="margin-top:6pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The laws of the State of New York shall govern the Indenture and this Note thereof. </P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">11 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="line-height:1.5pt;margin-top:0pt;margin-bottom:2pt;border-bottom:1.50pt solid #000000">&nbsp;</P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">ASSIGNMENT FORM </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">To assign this Note, fill in
the form below: </P> <P STYLE="margin-top:6pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">I or we assign and transfer this Note to </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:13%; font-size:10pt; font-family:Times New Roman">(Print or type assignee&#146;s name, address and zip code) </P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; text-indent:13%; font-size:10pt; font-family:Times New Roman">(Insert assignee&#146;s soc. sec. or tax I.D. No.) </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">and irrevocably appoint agent to transfer this Note on the books of the Issuer. The agent may substitute another to act for him. </P>
<P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P> <P STYLE="line-height:1.5pt;margin-top:0pt;margin-bottom:2pt;border-bottom:1.50pt solid #000000">&nbsp;</P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="100%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" ALIGN="center">


<TR>

<TD WIDTH="31%"></TD>

<TD VALIGN="bottom" WIDTH="2%"></TD>
<TD WIDTH="67%"></TD></TR>


<TR STYLE="font-size:1pt">
<TD HEIGHT="16"></TD>
<TD HEIGHT="16" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Date:
<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U></P></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Your Signature:
<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U></P></TD></TR>
</TABLE> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<P STYLE="line-height:1.5pt;margin-top:0pt;margin-bottom:2pt;border-bottom:1.50pt solid #000000">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Sign exactly as your name appears on the other side
of this Note. </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="100%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" ALIGN="center">


<TR>

<TD WIDTH="37%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="15%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="46%"></TD></TR>


<TR STYLE="font-size:1px; ">
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; border-top:1.00px solid #000000">&nbsp;</P></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Signature</P></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Signature Guarantee:</P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="top"></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"></TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="16"></TD>
<TD HEIGHT="16" COLSPAN="2"></TD>
<TD HEIGHT="16" COLSPAN="2"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom"> <P STYLE="line-height:3.0pt;margin-top:0pt;margin-bottom:2pt;border-bottom:1px solid #000000">&nbsp;</P>
<P STYLE="margin-top:0pt; margin-bottom:1pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Signature must be guaranteed</P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE="line-height:3.0pt;margin-top:0pt;margin-bottom:2pt;border-bottom:1px solid #000000">&nbsp;</P>
<P STYLE="margin-top:0pt; margin-bottom:1pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Signature</P></TD></TR>
</TABLE> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">Signatures must be guaranteed by an &#147;eligible guarantor institution&#148; meeting the requirements of the
Registrar, which requirements include membership or participation in the Security Transfer Agent Medallion Program (&#147;<B>STAMP</B>&#148;) or such other &#147;signature guarantee program&#148; as may be determined by the Registrar in addition to,
or in substitution for, STAMP, all in accordance with the United States Securities Exchange Act of 1934, as amended. </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<P STYLE="line-height:1.5pt;margin-top:0pt;margin-bottom:2pt;border-bottom:1.50pt solid #000000">&nbsp;</P>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">12 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><B>SCHEDULE OF EXCHANGES OF NOTES </B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">a. &nbsp;&nbsp;&nbsp;&nbsp;The following exchanges of a part of this Global Note for Physical Notes or a part of another Global Note have been
made: </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="100%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:8pt" ALIGN="center">


<TR>

<TD WIDTH="23%"></TD>

<TD VALIGN="bottom"></TD>
<TD WIDTH="19%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="20%"></TD>

<TD VALIGN="bottom"></TD>
<TD WIDTH="16%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="16%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:8pt">
<TD VALIGN="bottom" ALIGN="center"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Date of</B></P>
<P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Exchange</B></P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom" ALIGN="center"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Amount of decrease</B></P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>in principal amount</B></P> <P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>of this
Global Note</B></P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom" ALIGN="center"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Amount of increase in</B></P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>principal amount of this</B></P>
<P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Global Note</B></P></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom" ALIGN="center"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Principal amount of</B></P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>this Global Note</B></P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>following
such</B></P> <P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>decrease (or increase)</B></P></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom" ALIGN="center"> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>Signature of</B></P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>authorized signatory</B></P> <P STYLE="margin-top:0pt; margin-bottom:1pt; font-size:8pt; font-family:Times New Roman" ALIGN="center"><B>of
Trustee</B></P></TD></TR>
<TR STYLE="font-size:1px; ">
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; border-top:1.00px solid #000000">&nbsp;</P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; border-top:1.00px solid #000000">&nbsp;</P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; border-top:1.00px solid #000000">&nbsp;</P></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; border-top:1.00px solid #000000">&nbsp;</P></TD>
<TD VALIGN="bottom">&nbsp;&nbsp;</TD>
<TD VALIGN="bottom"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; border-top:1.00px solid #000000">&nbsp;</P></TD></TR>
</TABLE>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">13 </P>

</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center"><B>REPURCHASE EXERCISE NOTICE UPON A CHANGE OF CONTROL </B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">To: Roper Technologies, Inc. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">The undersigned registered owner
of this Security hereby acknowledges receipt of a notice from Roper Technologies, Inc. (the &#147;<B>Issuer</B>&#148;) as to the occurrence of a Change of Control Triggering Event with respect to the Issuer and hereby directs the Issuer to pay, or
cause the Trustee to pay, <U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U> an amount in cash equal to 101% of the aggregate principal amount of the Notes, or the portion
thereof (which is a multiple of $1,000, provided that the remaining principal amount, if any, following such repurchase shall be at least $2,000 or a multiple of $1,000 in excess thereof) below designated, to be repurchased plus interest accrued to,
but excluding, the repurchase date, except as provided in the Indenture. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Dated:
<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U> </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Signature
<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U>
</P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Principal amount to be repurchased (a multiple of $1,000):
<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U>
</P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Remaining principal amount following such repurchase:
<U>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</U> (zero or at least $2,000 or a multiple of $1,000 in excess thereof) </P>
<P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="40%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt">


<TR>

<TD WIDTH="7%"></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="92%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">By:</P></TD>
<TD VALIGN="bottom">&nbsp;</TD>
<TD VALIGN="top"> <P STYLE="margin-top:0pt; margin-bottom:1pt; border-bottom:1px solid #000000; font-size:10pt; font-family:Times New Roman">&nbsp;</P></TD></TR></TABLE>
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="40%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt">


<TR>

<TD></TD>

<TD VALIGN="bottom" WIDTH="1%"></TD>
<TD WIDTH="99%"></TD></TR>

<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="top" COLSPAN="3"> <P STYLE="margin-top:0pt; margin-bottom:1pt; margin-left:1.00em; text-indent:-1.00em; font-size:10pt; font-family:Times New Roman">Authorized Signatory</P></TD></TR>
</TABLE>
 <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">14 </P>

</DIV></Center>

</BODY></HTML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-5.1
<SEQUENCE>3
<FILENAME>d852216dex51.htm
<DESCRIPTION>EX-5.1
<TEXT>
<HTML><HEAD>
<TITLE>EX-5.1</TITLE>
</HEAD>
 <BODY BGCOLOR="WHITE">

<Center><DIV STYLE="width:8.5in" align="left">
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="right"><B>Exhibit 5.1 </B></P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman" ALIGN="center">June&nbsp;22, 2020 </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Roper Technologies, Inc.
</P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">6901 Professional Parkway East, Suite 200 </P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Sarasota, Florida
34240 </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P>
<TABLE STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt" BORDER="0" CELLPADDING="0" CELLSPACING="0" WIDTH="100%">
<TR style = "page-break-inside:avoid">
<TD WIDTH="4%">&nbsp;</TD>
<TD WIDTH="5%" VALIGN="top" ALIGN="left">Re:</TD>
<TD ALIGN="left" VALIGN="top"> <P STYLE=" margin-top:0pt ; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman; " ALIGN="left">$600,000,000 Aggregate Principal Amount of 2.000% Senior Notes due 2030 </P></TD></TR></TABLE>
<P STYLE="margin-top:12pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Ladies and Gentlemen: </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">We are acting as counsel
for Roper Technologies, Inc., a Delaware corporation (the &#147;Company&#148;), in connection with the issuance and sale of $600,000,000 aggregate principal amount of the Company&#146;s 2.000% Senior Notes due 2030 (the &#147;Notes&#148;), pursuant
to the underwriting agreement, dated as of June&nbsp;8, 2020 (the &#147;Underwriting Agreement&#148;), by and among the Company and BofA Securities, Inc., J.P. Morgan Securities LLC and Wells Fargo Securities, LLC, acting as representatives of the
several underwriters listed in Schedule 1 thereto (the &#147;Underwriters&#148;). The Notes will be issued under the indenture, dated as of November&nbsp;26, 2018 (the &#147;Indenture&#148;), between the Company and Wells Fargo Bank, National
Association, as trustee (the &#147;Trustee&#148;), and an Officer&#146;s Certificate, dated June&nbsp;22, 2020, setting forth the terms of the Notes. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">In connection with the opinion expressed herein, we have examined such documents, records and matters of law as we have deemed relevant or
necessary for purposes of such opinion. Based on the foregoing, and subject to the further limitations, qualifications and assumptions set forth herein, we are of the opinion that the Notes constitute valid and binding obligations of the Company.
</P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">For purposes of the opinion expressed herein, we have assumed that (i)&nbsp;the Trustee has authorized, executed and delivered the
Indenture, (ii)&nbsp;the Notes will be duly authenticated by the Trustee in accordance with the Indenture, and (iii)&nbsp;the Indenture is the valid, binding and enforceable obligation of the Trustee. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">The opinion expressed herein is limited by (i)&nbsp;bankruptcy, insolvency, reorganization, fraudulent transfer and fraudulent conveyance,
voidable preference, moratorium or other similar laws and related regulations and judicial doctrines from time to time in effect relating to or affecting creditors&#146; rights generally, and (ii)&nbsp;by general equitable principles and public
policy considerations, whether such principles and considerations are considered in a proceeding at law or at equity. </P> <P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">As to facts
material to the opinion and assumptions expressed herein, we have relied upon oral and written statements and representations of officers and other representatives of the Company and others. The opinion expressed herein is limited to the laws of the
State of New York and the General Corporation Law of the State of Delaware, in each case as currently in effect, and we express no opinion as to the effect of the laws of any other jurisdiction. </P>
<P STYLE="margin-top:12pt; margin-bottom:0pt; text-indent:4%; font-size:10pt; font-family:Times New Roman">We hereby consent to the filing of this opinion as Exhibit 5.1 to the Current Report on Form <FONT STYLE="white-space:nowrap">8-K</FONT> dated
the date hereof and incorporated by reference into the Registration Statement on Form <FONT STYLE="white-space:nowrap">S-3</FONT> (Registration <FONT STYLE="white-space:nowrap">No.&nbsp;333-228532)</FONT> (the &#147;Registration Statement&#148;),
filed by the Company to effect the registration of the Notes under the Securities Act of 1933 (the &#147;Act&#148;) and to the reference to Jones Day under the caption &#147;Legal Matters&#148; in the prospectus constituting a part of such
Registration </P>
</DIV></Center>


<p style="margin-top:1em; margin-bottom:0em; page-break-before:always">
<HR SIZE="3" style="COLOR:#999999" WIDTH="100%" ALIGN="CENTER">

<Center><DIV STYLE="width:8.5in" align="left">

 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">Roper Technologies, Inc. </P>
<P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">June 22, 2020 </P> <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman"> Page
 2
 </P> <p STYLE="margin-top:0pt;margin-bottom:0pt ; font-size:8pt">&nbsp;</P>
 <P STYLE="margin-top:0pt; margin-bottom:0pt; font-size:10pt; font-family:Times New Roman">
Statement. In giving such consent, we do not hereby admit that we are included in the category of persons whose consent is required under Section&nbsp;7 of the Act or the rules and regulations of
the Securities and Exchange Commission promulgated thereunder. </P> <P STYLE="font-size:12pt;margin-top:0pt;margin-bottom:0pt">&nbsp;</P><DIV ALIGN="right">
<TABLE CELLSPACING="0" CELLPADDING="0" WIDTH="40%" BORDER="0" STYLE="BORDER-COLLAPSE:COLLAPSE; font-family:Times New Roman; font-size:10pt">


<TR>

<TD WIDTH="100%"></TD></TR>


<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom">Very truly yours,</TD></TR>
<TR STYLE="font-size:1pt">
<TD HEIGHT="16"></TD></TR>
<TR STYLE="page-break-inside:avoid ; font-family:Times New Roman; font-size:10pt">
<TD VALIGN="bottom">/s/ Jones Day</TD></TR>
</TABLE></DIV>
</DIV></Center>

</BODY></HTML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-101.SCH
<SEQUENCE>4
<FILENAME>rop-20200622.xsd
<DESCRIPTION>XBRL TAXONOMY EXTENSION SCHEMA
<TEXT>
<XBRL>
<?xml version="1.0" encoding="us-ascii"?>
<!-- DFIN - https://www.dfinsolutions.com/ -->
<!-- CTU Version: Release 2020-4 Build:20200505.2 -->
<!-- Creation date: 6/22/2020 4:27:51 PM Eastern Time -->
<!-- Copyright (c) 2020 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<xsd:schema
  xmlns:nonnum="http://www.xbrl.org/dtr/type/non-numeric"
  xmlns:num="http://www.xbrl.org/dtr/type/numeric"
  xmlns:us-types="http://fasb.org/us-types/2019-01-31"
  xmlns:rop="http://ropertech.com/20200622"
  xmlns:dei="http://xbrl.sec.gov/dei/2019-01-31"
  xmlns:xbrli="http://www.xbrl.org/2003/instance"
  xmlns:link="http://www.xbrl.org/2003/linkbase"
  xmlns:xlink="http://www.w3.org/1999/xlink"
  xmlns:xbrldt="http://xbrl.org/2005/xbrldt"
  xmlns:sic="http://xbrl.sec.gov/sic/2011-01-31"
  attributeFormDefault="unqualified"
  elementFormDefault="qualified"
  targetNamespace="http://ropertech.com/20200622"
  xmlns:xsd="http://www.w3.org/2001/XMLSchema">
    <xsd:import schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" namespace="http://www.xbrl.org/2003/instance" />
    <xsd:import schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" namespace="http://www.xbrl.org/2003/linkbase" />
    <xsd:import schemaLocation="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd" namespace="http://xbrl.sec.gov/dei/2019-01-31" />
    <xsd:import schemaLocation="http://www.xbrl.org/dtr/type/numeric-2009-12-16.xsd" namespace="http://www.xbrl.org/dtr/type/numeric" />
    <xsd:import schemaLocation="http://www.xbrl.org/dtr/type/nonNumeric-2009-12-16.xsd" namespace="http://www.xbrl.org/dtr/type/non-numeric" />
    <xsd:import schemaLocation="http://xbrl.sec.gov/sic/2011/sic-2011-01-31.xsd" namespace="http://xbrl.sec.gov/sic/2011-01-31" />
    <xsd:import schemaLocation="https://xbrl.sec.gov/naics/2017/naics-2017-01-31.xsd" namespace="http://xbrl.sec.gov/naics/2017-01-31" />
    <xsd:import schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" namespace="http://xbrl.org/2005/xbrldt" />
  <xsd:annotation>
    <xsd:appinfo>
      <link:linkbaseRef xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="rop-20200622_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:title="Label Links, all" xlink:type="simple" />
      <link:linkbaseRef xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="rop-20200622_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:title="Presentation Links, all" xlink:type="simple" />
      <link:roleType roleURI="http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation" id="Role_DocumentDocumentAndEntityInformation">
        <link:definition>100000 - Document - Document and Entity Information</link:definition>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
    </xsd:appinfo>
  </xsd:annotation>
</xsd:schema>
</XBRL>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-101.LAB
<SEQUENCE>5
<FILENAME>rop-20200622_lab.xml
<DESCRIPTION>XBRL TAXONOMY EXTENSION LABEL LINKBASE
<TEXT>
<XBRL>
<?xml version="1.0" encoding="us-ascii" standalone="yes"?>
<!-- DFIN - https://www.dfinsolutions.com/ -->
<!-- CTU Version: Release 2020-4 Build:20200505.2 -->
<!-- Creation date: 6/22/2020 4:27:51 PM Eastern Time -->
<!-- Copyright (c) 2020 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<link:linkbase
  xmlns:link="http://www.xbrl.org/2003/linkbase"
  xmlns:xlink="http://www.w3.org/1999/xlink"
  xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
  xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CoverAbstract" xlink:type="locator" xlink:label="dei_CoverAbstract" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_CoverAbstract" xlink:to="dei_CoverAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_CoverAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_CoverAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cover [Abstract]</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityRegistrantName" xlink:type="locator" xlink:label="dei_EntityRegistrantName" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityRegistrantName" xlink:to="dei_EntityRegistrantName_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityRegistrantName_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityRegistrantName_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Registrant Name</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_AmendmentFlag" xlink:type="locator" xlink:label="dei_AmendmentFlag" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_AmendmentFlag" xlink:to="dei_AmendmentFlag_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_AmendmentFlag_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_AmendmentFlag_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment Flag</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityCentralIndexKey" xlink:type="locator" xlink:label="dei_EntityCentralIndexKey" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityCentralIndexKey" xlink:to="dei_EntityCentralIndexKey_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Central Index Key</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentType" xlink:type="locator" xlink:label="dei_DocumentType" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentType" xlink:to="dei_DocumentType_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_DocumentType_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_DocumentType_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Type</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate" xlink:type="locator" xlink:label="dei_DocumentPeriodEndDate" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentPeriodEndDate" xlink:to="dei_DocumentPeriodEndDate_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Period End Date</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityIncorporationStateCountryCode" xlink:type="locator" xlink:label="dei_EntityIncorporationStateCountryCode" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityIncorporationStateCountryCode" xlink:to="dei_EntityIncorporationStateCountryCode_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation State Country Code</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation State Country Code</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityFileNumber" xlink:type="locator" xlink:label="dei_EntityFileNumber" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityFileNumber" xlink:to="dei_EntityFileNumber_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityFileNumber_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity File Number</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityFileNumber_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity File Number</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityTaxIdentificationNumber" xlink:type="locator" xlink:label="dei_EntityTaxIdentificationNumber" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityTaxIdentificationNumber" xlink:to="dei_EntityTaxIdentificationNumber_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine1" xlink:type="locator" xlink:label="dei_EntityAddressAddressLine1" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressAddressLine1" xlink:to="dei_EntityAddressAddressLine1_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line One</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine2" xlink:type="locator" xlink:label="dei_EntityAddressAddressLine2" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressAddressLine2" xlink:to="dei_EntityAddressAddressLine2_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Two</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line Two</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressCityOrTown" xlink:type="locator" xlink:label="dei_EntityAddressCityOrTown" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressCityOrTown" xlink:to="dei_EntityAddressCityOrTown_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, City or Town</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressStateOrProvince" xlink:type="locator" xlink:label="dei_EntityAddressStateOrProvince" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressStateOrProvince" xlink:to="dei_EntityAddressStateOrProvince_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressPostalZipCode" xlink:type="locator" xlink:label="dei_EntityAddressPostalZipCode" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressPostalZipCode" xlink:to="dei_EntityAddressPostalZipCode_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Postal Zip Code</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Postal Zip Code</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CityAreaCode" xlink:type="locator" xlink:label="dei_CityAreaCode" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_CityAreaCode" xlink:to="dei_CityAreaCode_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_CityAreaCode_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_CityAreaCode_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_LocalPhoneNumber" xlink:type="locator" xlink:label="dei_LocalPhoneNumber" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_LocalPhoneNumber" xlink:to="dei_LocalPhoneNumber_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_LocalPhoneNumber_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_LocalPhoneNumber_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_WrittenCommunications" xlink:type="locator" xlink:label="dei_WrittenCommunications" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_WrittenCommunications" xlink:to="dei_WrittenCommunications_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_WrittenCommunications_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Written Communications</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_WrittenCommunications_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Written Communications</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SolicitingMaterial" xlink:type="locator" xlink:label="dei_SolicitingMaterial" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_SolicitingMaterial" xlink:to="dei_SolicitingMaterial_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_SolicitingMaterial_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Soliciting Material</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_SolicitingMaterial_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Soliciting Material</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_PreCommencementTenderOffer" xlink:type="locator" xlink:label="dei_PreCommencementTenderOffer" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_PreCommencementTenderOffer" xlink:to="dei_PreCommencementTenderOffer_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_PreCommencementTenderOffer_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Pre Commencement Tender Offer</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_PreCommencementTenderOffer_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre Commencement Tender Offer</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_PreCommencementIssuerTenderOffer" xlink:type="locator" xlink:label="dei_PreCommencementIssuerTenderOffer" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_PreCommencementIssuerTenderOffer" xlink:to="dei_PreCommencementIssuerTenderOffer_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_PreCommencementIssuerTenderOffer_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Pre Commencement Issuer Tender Offer</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_PreCommencementIssuerTenderOffer_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre Commencement Issuer Tender Offer</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_Security12bTitle" xlink:type="locator" xlink:label="dei_Security12bTitle" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_Security12bTitle" xlink:to="dei_Security12bTitle_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_Security12bTitle_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Security 12b Title</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_Security12bTitle_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security 12b Title</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_TradingSymbol" xlink:type="locator" xlink:label="dei_TradingSymbol" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_TradingSymbol" xlink:to="dei_TradingSymbol_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_TradingSymbol_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_TradingSymbol_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading Symbol</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SecurityExchangeName" xlink:type="locator" xlink:label="dei_SecurityExchangeName" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_SecurityExchangeName" xlink:to="dei_SecurityExchangeName_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_SecurityExchangeName_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_SecurityExchangeName_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security Exchange Name</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityEmergingGrowthCompany" xlink:type="locator" xlink:label="dei_EntityEmergingGrowthCompany" />
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityEmergingGrowthCompany" xlink:to="dei_EntityEmergingGrowthCompany_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Emerging Growth Company</link:label>
  </link:labelLink>
</link:linkbase>
</XBRL>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-101.PRE
<SEQUENCE>6
<FILENAME>rop-20200622_pre.xml
<DESCRIPTION>XBRL TAXONOMY EXTENSION PRESENTATION LINKBASE
<TEXT>
<XBRL>
<?xml version="1.0" encoding="us-ascii" standalone="yes"?>
<!-- DFIN - https://www.dfinsolutions.com/ -->
<!-- CTU Version: Release 2020-4 Build:20200505.2 -->
<!-- Creation date: 6/22/2020 4:27:51 PM Eastern Time -->
<!-- Copyright (c) 2020 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<link:linkbase
    xmlns:link="http://www.xbrl.org/2003/linkbase"
    xmlns:xlink="http://www.w3.org/1999/xlink"
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xmlns:xbrldt="http://xbrl.org/2005/xbrldt"
    xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation" xlink:href="rop-20200622.xsd#Role_DocumentDocumentAndEntityInformation" xlink:type="simple" />
  <link:presentationLink xlink:type="extended" xlink:role="http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation">
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CoverAbstract" xlink:type="locator" xlink:label="dei_CoverAbstract" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityRegistrantName" xlink:type="locator" xlink:label="dei_EntityRegistrantName" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityRegistrantName" order="22.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_AmendmentFlag" xlink:type="locator" xlink:label="dei_AmendmentFlag" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_AmendmentFlag" order="23.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityCentralIndexKey" xlink:type="locator" xlink:label="dei_EntityCentralIndexKey" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityCentralIndexKey" order="24.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentType" xlink:type="locator" xlink:label="dei_DocumentType" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_DocumentType" order="26.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate" xlink:type="locator" xlink:label="dei_DocumentPeriodEndDate" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_DocumentPeriodEndDate" order="27.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityIncorporationStateCountryCode" xlink:type="locator" xlink:label="dei_EntityIncorporationStateCountryCode" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityIncorporationStateCountryCode" order="28.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityFileNumber" xlink:type="locator" xlink:label="dei_EntityFileNumber" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityFileNumber" order="29.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityTaxIdentificationNumber" xlink:type="locator" xlink:label="dei_EntityTaxIdentificationNumber" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityTaxIdentificationNumber" order="30.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine1" xlink:type="locator" xlink:label="dei_EntityAddressAddressLine1" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityAddressAddressLine1" order="31.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine2" xlink:type="locator" xlink:label="dei_EntityAddressAddressLine2" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityAddressAddressLine2" order="32.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressCityOrTown" xlink:type="locator" xlink:label="dei_EntityAddressCityOrTown" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityAddressCityOrTown" order="33.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressStateOrProvince" xlink:type="locator" xlink:label="dei_EntityAddressStateOrProvince" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityAddressStateOrProvince" order="34.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressPostalZipCode" xlink:type="locator" xlink:label="dei_EntityAddressPostalZipCode" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityAddressPostalZipCode" order="35.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CityAreaCode" xlink:type="locator" xlink:label="dei_CityAreaCode" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_CityAreaCode" order="36.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_LocalPhoneNumber" xlink:type="locator" xlink:label="dei_LocalPhoneNumber" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_LocalPhoneNumber" order="37.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_WrittenCommunications" xlink:type="locator" xlink:label="dei_WrittenCommunications" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_WrittenCommunications" order="38.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SolicitingMaterial" xlink:type="locator" xlink:label="dei_SolicitingMaterial" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_SolicitingMaterial" order="39.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_PreCommencementTenderOffer" xlink:type="locator" xlink:label="dei_PreCommencementTenderOffer" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_PreCommencementTenderOffer" order="40.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_PreCommencementIssuerTenderOffer" xlink:type="locator" xlink:label="dei_PreCommencementIssuerTenderOffer" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_PreCommencementIssuerTenderOffer" order="41.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_Security12bTitle" xlink:type="locator" xlink:label="dei_Security12bTitle" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_Security12bTitle" order="42.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_TradingSymbol" xlink:type="locator" xlink:label="dei_TradingSymbol" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_TradingSymbol" order="43.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SecurityExchangeName" xlink:type="locator" xlink:label="dei_SecurityExchangeName" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_SecurityExchangeName" order="44.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityEmergingGrowthCompany" xlink:type="locator" xlink:label="dei_EntityEmergingGrowthCompany" />
    <link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_CoverAbstract" xlink:to="dei_EntityEmergingGrowthCompany" order="45.001" priority="2" use="optional" preferredLabel="http://www.xbrl.org/2003/role/terseLabel" />
  </link:presentationLink>
</link:linkbase>
</XBRL>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EXCEL
<SEQUENCE>7
<FILENAME>Financial_Report.xlsx
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
begin 644 Financial_Report.xlsx
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MMWF\81AU8\K(XK%T-8943OTJDH\ Q:X831F:3LTXXFBD(3^ G/,6+V2?$9/
M-(X'P"J8%EQV^3O8:W7..7AKQ%/25V^9"CGIYFHQ*/B76_..7+8\#?NW_+""
MWTG] E!+ P04    " #A4]90:.EZSNX    K @  $0   &1O8U!R;W!S+V-O
M<F4N>&ULS9+!:L,P#(9?9?B>R$E8&2;-I:.G#@8K;.QF;+4UBV-C:R1]^SE>
MFS*V!]C1TN]/GT"M\D*Y@,_!>0QD,-Y-MA^B4'[-3D1> $1U0BMCF1)#:AY<
ML)+2,QS!2_4ACP@UYRNP2%)+DC #"[\06==J)51 22Y<\%HM>/\9^@S3"K!'
MBP-%J,H*6#=/].>I;^$&F&&$P<;O NJ%F*M_8G,'V"4Y1;.DQG$LQR;GT@X5
MO#WM7O*ZA1DBR4%A^A6-H+/'-;M.?FTVC_LMZVI>\X*OBKK>5UPT7-P_O,^N
M/_QNPM9I<S#_V/@JV+7PZRZZ+U!+ P04    " #A4]90F5R<(Q &  "<)P
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M-XJ<[O9GJ,6@WLX%][]$\0-02P,$%     @ X5/64!9M(W]# 0  / (   \
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MD72FMW>3>PZ[U_J!L7?[ZE32CQKCQRU_ %!+ P04    " #A4]90_\ F"+T
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M.N_6_VATF<N@7?S-R$=*[4%?#?_)\@M02P$"% ,4    " #A4]90'R// \
M   3 @  "P              @ $     7W)E;',O+G)E;'-02P$"% ,4
M" #A4]90)^B'#H(   "Q    $               @ 'I    9&]C4')O<',O
M87!P+GAM;%!+ 0(4 Q0    ( .%3UE!HZ7K.[@   "L"   1
M  "  9D!  !D;V-0<F]P<R]C;W)E+GAM;%!+ 0(4 Q0    ( .%3UE"97)PC
M$ 8  )PG   3              "  ;8"  !X;"]T:&5M92]T:&5M93$N>&UL
M4$L! A0#%     @ X5/64&W)T3BH @  ^0L  !@              ( !]P@
M 'AL+W=O<FMS:&5E=',O<VAE970Q+GAM;%!+ 0(4 Q0    ( .%3UE 'V(XG
M80(  #X&   4              "  =4+  !X;"]S:&%R9613=')I;F=S+GAM
M;%!+ 0(4 Q0    ( .%3UE"ZH3F*UP$  #(&   -              "  6@.
M  !X;"]S='EL97,N>&UL4$L! A0#%     @ X5/64!9M(W]# 0  / (   \
M             ( !:A   'AL+W=O<FMB;V]K+GAM;%!+ 0(4 Q0    ( .%3
MUE#_P"8(O0   (4"   :              "  =H1  !X;"]?<F5L<R]W;W)K
M8F]O:RYX;6PN<F5L<U!+ 0(4 Q0    ( .%3UE +C]@#(0$  %<$   3
M          "  <\2  !;0V]N=&5N=%]4>7!E<UTN>&UL4$L%!@     *  H
*@ (  "$4      $!

end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>10
<FILENAME>report.css
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
/* Updated 2009-11-04 */
/* v2.2.0.24 */

/* DefRef Styles */
..report table.authRefData{
	background-color: #def;
	border: 2px solid #2F4497;
	font-size: 1em;
	position: absolute;
}

..report table.authRefData a {
	display: block;
	font-weight: bold;
}

..report table.authRefData p {
	margin-top: 0px;
}

..report table.authRefData .hide {
	background-color: #2F4497;
	padding: 1px 3px 0px 0px;
	text-align: right;
}

..report table.authRefData .hide a:hover {
	background-color: #2F4497;
}

..report table.authRefData .body {
	height: 150px;
	overflow: auto;
	width: 400px;
}

..report table.authRefData table{
	font-size: 1em;
}

/* Report Styles */
..pl a, .pl a:visited {
	color: black;
	text-decoration: none;
}

/* table */
..report {
	background-color: white;
	border: 2px solid #acf;
	clear: both;
	color: black;
	font: normal 8pt Helvetica, Arial, san-serif;
	margin-bottom: 2em;
}

..report hr {
	border: 1px solid #acf;
}

/* Top labels */
..report th {
	background-color: #acf;
	color: black;
	font-weight: bold;
	text-align: center;
}

..report th.void	{
	background-color: transparent;
	color: #000000;
	font: bold 10pt Helvetica, Arial, san-serif;
	text-align: left;
}

..report .pl {
	text-align: left;
	vertical-align: top;
	white-space: normal;
	width: 200px;
	white-space: normal; /* word-wrap: break-word; */
}

..report td.pl a.a {
	cursor: pointer;
	display: block;
	width: 200px;
	overflow: hidden;
}

..report td.pl div.a {
	width: 200px;
}

..report td.pl a:hover {
	background-color: #ffc;
}

/* Header rows... */
..report tr.rh {
	background-color: #acf;
	color: black;
	font-weight: bold;
}

/* Calendars... */
..report .rc {
	background-color: #f0f0f0;
}

/* Even rows... */
..report .re, .report .reu {
	background-color: #def;
}

..report .reu td {
	border-bottom: 1px solid black;
}

/* Odd rows... */
..report .ro, .report .rou {
	background-color: white;
}

..report .rou td {
	border-bottom: 1px solid black;
}

..report .rou table td, .report .reu table td {
	border-bottom: 0px solid black;
}

/* styles for footnote marker */
..report .fn {
	white-space: nowrap;
}

/* styles for numeric types */
..report .num, .report .nump {
	text-align: right;
	white-space: nowrap;
}

..report .nump {
	padding-left: 2em;
}

..report .nump {
	padding: 0px 0.4em 0px 2em;
}

/* styles for text types */
..report .text {
	text-align: left;
	white-space: normal;
}

..report .text .big {
	margin-bottom: 1em;
	width: 17em;
}

..report .text .more {
	display: none;
}

..report .text .note {
	font-style: italic;
	font-weight: bold;
}

..report .text .small {
	width: 10em;
}

..report sup {
	font-style: italic;
}

..report .outerFootnotes {
	font-size: 1em;
}
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>ZIP
<SEQUENCE>11
<FILENAME>0001193125-20-174903-xbrl.zip
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
begin 644 0001193125-20-174903-xbrl.zip
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MSP"15'P*D^^!.*#7PEBT\CP=1O0KP(D7V2POI*0!FPT>L<_7U) ;H@_?4M<
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MCB/84I"!0998YX.+!9D%TT15G#&*E=$KU,JE5^HP:#:25$W=$:6O-%E@C3&
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MCK+W#V#R%\V>2KGELF#V;D@#,N<CT)"Y_0*Q7'391(5RXZ$!R)QY.-#<-!*
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M(7ZFZN$N(^5EOF13C.NRC$S8AG%W!:X3'*M<NDY@P=%S6$EOY1+QLA@HE<F
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MH*HW\U:;W<,5^"!RX_$UM$HJU9![7:GPHGJ,-=@('_8_L$%!\I5JWB8G-L#
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MNJG=X"*U_\;"\YO%LG-Y5ZY+%-Y<@R;L<FS#!6=_D3!WLV]K3JL_?B.A>95
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M;&X3QLW&72-?1>>OGK&UN@.[_G,A[,^U*=V%M'<QR?VY]H,(R-I_94:%<&_
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MIO\J/P!=":X9ULZF,1N& 7B"ER8'8.@Z ,-G-P!#VP$8-C$ P^\W ),U;VP
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M,C$V9&5X-#$N:'1M4$L! A0#%     @ X5/64* ES\G@"   9AL  !
M         ( !R4X  &0X-3(R,39D97@U,2YH=&U02P$"% ,4    " #A4]90
MKK3Q]5\#   :#   $               @ '75P  <F]P+3(P,C P-C(R+GAS
M9%!+ 0(4 Q0    ( .%3UE#UW[M:AP8  $E'   4              "  61;
M  !R;W M,C R,# V,C)?;&%B+GAM;%!+ 0(4 Q0    ( .%3UE".XVU2S 0
M ,@L   4              "  1UB  !R;W M,C R,# V,C)?<')E+GAM;%!+
4!08     !@ & 'H!   ;9P     !

end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>12
<FILENAME>Show.js
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
// Edgar(tm) Renderer was created by staff of the U.S. Securities and Exchange Commission.  Data and content created by government employees within the scope of their employment are not subject to domestic copyright protection. 17 U.S.C. 105.
var Show={};Show.LastAR=null,Show.showAR=function(a,r,w){if(Show.LastAR)Show.hideAR();var e=a;while(e&&e.nodeName!='TABLE')e=e.nextSibling;if(!e||e.nodeName!='TABLE'){var ref=((window)?w.document:document).getElementById(r);if(ref){e=ref.cloneNode(!0);
e.removeAttribute('id');a.parentNode.appendChild(e)}}
if(e)e.style.display='block';Show.LastAR=e};Show.hideAR=function(){Show.LastAR.style.display='none'};Show.toggleNext=function(a){var e=a;while(e.nodeName!='DIV')e=e.nextSibling;if(!e.style){}else if(!e.style.display){}else{var d,p_;if(e.style.display=='none'){d='block';p='-'}else{d='none';p='+'}
e.style.display=d;if(a.textContent){a.textContent=p+a.textContent.substring(1)}else{a.innerText=p+a.innerText.substring(1)}}}
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>JSON
<SEQUENCE>13
<FILENAME>MetaLinks.json
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
{
 "instance": {
  "d852216d8k.htm": {
   "axisCustom": 0,
   "axisStandard": 0,
   "contextCount": 1,
   "dts": {
    "inline": {
     "local": [
      "d852216d8k.htm"
     ]
    },
    "labelLink": {
     "local": [
      "rop-20200622_lab.xml"
     ],
     "remote": [
      "https://xbrl.sec.gov/dei/2019/dei-doc-2019-01-31.xml"
     ]
    },
    "presentationLink": {
     "local": [
      "rop-20200622_pre.xml"
     ]
    },
    "referenceLink": {
     "remote": [
      "https://xbrl.sec.gov/dei/2019/dei-ref-2019-01-31.xml"
     ]
    },
    "schema": {
     "local": [
      "rop-20200622.xsd"
     ],
     "remote": [
      "http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd",
      "http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd",
      "http://www.xbrl.org/2003/xl-2003-12-31.xsd",
      "http://www.xbrl.org/2003/xlink-2003-12-31.xsd",
      "https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd",
      "http://www.xbrl.org/2005/xbrldt-2005.xsd",
      "http://www.xbrl.org/dtr/type/nonNumeric-2009-12-16.xsd",
      "http://www.xbrl.org/dtr/type/numeric-2009-12-16.xsd",
      "http://xbrl.sec.gov/sic/2011/sic-2011-01-31.xsd",
      "https://xbrl.sec.gov/naics/2017/naics-2017-01-31.xsd",
      "http://www.xbrl.org/2006/ref-2006-02-27.xsd",
      "http://www.xbrl.org/lrr/role/deprecated-2009-12-16.xsd"
     ]
    }
   },
   "elementCount": 24,
   "entityCount": 1,
   "hidden": {
    "http://xbrl.sec.gov/dei/2019-01-31": 3,
    "total": 3
   },
   "keyCustom": 0,
   "keyStandard": 95,
   "memberCustom": 0,
   "memberStandard": 0,
   "nsprefix": "rop",
   "nsuri": "http://ropertech.com/20200622",
   "report": {
    "R1": {
     "firstAnchor": {
      "ancestors": [
       "p",
       "div",
       "body",
       "html"
      ],
      "baseRef": "d852216d8k.htm",
      "contextRef": "duration_2020-06-22_to_2020-06-22",
      "decimals": null,
      "first": true,
      "lang": "en-US",
      "name": "dei:DocumentType",
      "reportCount": 1,
      "unique": true,
      "unitRef": null,
      "xsiNil": "false"
     },
     "groupType": "document",
     "isDefault": "true",
     "longName": "100000 - Document - Document and Entity Information",
     "role": "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation",
     "shortName": "Document and Entity Information",
     "subGroupType": "",
     "uniqueAnchor": {
      "ancestors": [
       "p",
       "div",
       "body",
       "html"
      ],
      "baseRef": "d852216d8k.htm",
      "contextRef": "duration_2020-06-22_to_2020-06-22",
      "decimals": null,
      "first": true,
      "lang": "en-US",
      "name": "dei:DocumentType",
      "reportCount": 1,
      "unique": true,
      "unitRef": null,
      "xsiNil": "false"
     }
    }
   },
   "segmentCount": 0,
   "tag": {
    "dei_AmendmentFlag": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Boolean flag that is true when the XBRL content amends previously-filed or accepted submission.",
        "label": "Amendment Flag",
        "terseLabel": "Amendment Flag"
       }
      }
     },
     "localname": "AmendmentFlag",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "booleanItemType"
    },
    "dei_CityAreaCode": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Area code of city",
        "label": "City Area Code",
        "terseLabel": "City Area Code"
       }
      }
     },
     "localname": "CityAreaCode",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_CoverAbstract": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Cover page.",
        "label": "Cover [Abstract]",
        "terseLabel": "Cover [Abstract]"
       }
      }
     },
     "localname": "CoverAbstract",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "xbrltype": "stringItemType"
    },
    "dei_DocumentPeriodEndDate": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "The end date of the period reflected on the cover page if a periodic report. For all other reports and registration statements containing historical data, it is the date up through which that historical data is presented.  If there is no historical data in the report, use the filing date. The format of the date is CCYY-MM-DD.",
        "label": "Document Period End Date",
        "terseLabel": "Document Period End Date"
       }
      }
     },
     "localname": "DocumentPeriodEndDate",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "dateItemType"
    },
    "dei_DocumentType": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "The type of document being provided (such as 10-K, 10-Q, 485BPOS, etc). The document type is limited to the same value as the supporting SEC submission type, or the word 'Other'.",
        "label": "Document Type",
        "terseLabel": "Document Type"
       }
      }
     },
     "localname": "DocumentType",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "submissionTypeItemType"
    },
    "dei_EntityAddressAddressLine1": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Address Line 1 such as Attn, Building Name, Street Name",
        "label": "Entity Address, Address Line One",
        "terseLabel": "Entity Address, Address Line One"
       }
      }
     },
     "localname": "EntityAddressAddressLine1",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_EntityAddressAddressLine2": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Address Line 2 such as Street or Suite number",
        "label": "Entity Address, Address Line Two",
        "terseLabel": "Entity Address, Address Line Two"
       }
      }
     },
     "localname": "EntityAddressAddressLine2",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_EntityAddressCityOrTown": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Name of the City or Town",
        "label": "Entity Address, City or Town",
        "terseLabel": "Entity Address, City or Town"
       }
      }
     },
     "localname": "EntityAddressCityOrTown",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_EntityAddressPostalZipCode": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Code for the postal or zip code",
        "label": "Entity Address, Postal Zip Code",
        "terseLabel": "Entity Address, Postal Zip Code"
       }
      }
     },
     "localname": "EntityAddressPostalZipCode",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_EntityAddressStateOrProvince": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Name of the state or province.",
        "label": "Entity Address, State or Province",
        "terseLabel": "Entity Address, State or Province"
       }
      }
     },
     "localname": "EntityAddressStateOrProvince",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "stateOrProvinceItemType"
    },
    "dei_EntityCentralIndexKey": {
     "auth_ref": [
      "r5"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK.",
        "label": "Entity Central Index Key",
        "terseLabel": "Entity Central Index Key"
       }
      }
     },
     "localname": "EntityCentralIndexKey",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "centralIndexKeyItemType"
    },
    "dei_EntityEmergingGrowthCompany": {
     "auth_ref": [
      "r5"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Indicate if registrant meets the emerging growth company criteria.",
        "label": "Entity Emerging Growth Company",
        "terseLabel": "Entity Emerging Growth Company"
       }
      }
     },
     "localname": "EntityEmergingGrowthCompany",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "booleanItemType"
    },
    "dei_EntityFileNumber": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Commission file number. The field allows up to 17 characters. The prefix may contain 1-3 digits, the sequence number may contain 1-8 digits, the optional suffix may contain 1-4 characters, and the fields are separated with a hyphen.",
        "label": "Entity File Number",
        "terseLabel": "Entity File Number"
       }
      }
     },
     "localname": "EntityFileNumber",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "fileNumberItemType"
    },
    "dei_EntityIncorporationStateCountryCode": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Two-character EDGAR code representing the state or country of incorporation.",
        "label": "Entity Incorporation State Country Code",
        "terseLabel": "Entity Incorporation State Country Code"
       }
      }
     },
     "localname": "EntityIncorporationStateCountryCode",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "edgarStateCountryItemType"
    },
    "dei_EntityRegistrantName": {
     "auth_ref": [
      "r5"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC.",
        "label": "Entity Registrant Name",
        "terseLabel": "Entity Registrant Name"
       }
      }
     },
     "localname": "EntityRegistrantName",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_EntityTaxIdentificationNumber": {
     "auth_ref": [
      "r5"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "The Tax Identification Number (TIN), also known as an Employer Identification Number (EIN), is a unique 9-digit value assigned by the IRS.",
        "label": "Entity Tax Identification Number",
        "terseLabel": "Entity Tax Identification Number"
       }
      }
     },
     "localname": "EntityTaxIdentificationNumber",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "employerIdItemType"
    },
    "dei_LocalPhoneNumber": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Local phone number for entity.",
        "label": "Local Phone Number",
        "terseLabel": "Local Phone Number"
       }
      }
     },
     "localname": "LocalPhoneNumber",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "normalizedStringItemType"
    },
    "dei_PreCommencementIssuerTenderOffer": {
     "auth_ref": [
      "r2"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act.",
        "label": "Pre Commencement Issuer Tender Offer",
        "terseLabel": "Pre Commencement Issuer Tender Offer"
       }
      }
     },
     "localname": "PreCommencementIssuerTenderOffer",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "booleanItemType"
    },
    "dei_PreCommencementTenderOffer": {
     "auth_ref": [
      "r3"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act.",
        "label": "Pre Commencement Tender Offer",
        "terseLabel": "Pre Commencement Tender Offer"
       }
      }
     },
     "localname": "PreCommencementTenderOffer",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "booleanItemType"
    },
    "dei_Security12bTitle": {
     "auth_ref": [
      "r0"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Title of a 12(b) registered security.",
        "label": "Security 12b Title",
        "terseLabel": "Security 12b Title"
       }
      }
     },
     "localname": "Security12bTitle",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "securityTitleItemType"
    },
    "dei_SecurityExchangeName": {
     "auth_ref": [
      "r1"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Name of the Exchange on which a security is registered.",
        "label": "Security Exchange Name",
        "terseLabel": "Security Exchange Name"
       }
      }
     },
     "localname": "SecurityExchangeName",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "edgarExchangeCodeItemType"
    },
    "dei_SolicitingMaterial": {
     "auth_ref": [
      "r4"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as soliciting material pursuant to Rule 14a-12 under the Exchange Act.",
        "label": "Soliciting Material",
        "terseLabel": "Soliciting Material"
       }
      }
     },
     "localname": "SolicitingMaterial",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "booleanItemType"
    },
    "dei_TradingSymbol": {
     "auth_ref": [],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Trading symbol of an instrument as listed on an exchange.",
        "label": "Trading Symbol",
        "terseLabel": "Trading Symbol"
       }
      }
     },
     "localname": "TradingSymbol",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "tradingSymbolItemType"
    },
    "dei_WrittenCommunications": {
     "auth_ref": [
      "r6"
     ],
     "lang": {
      "en-US": {
       "role": {
        "documentation": "Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as written communications pursuant to Rule 425 under the Securities Act.",
        "label": "Written Communications",
        "terseLabel": "Written Communications"
       }
      }
     },
     "localname": "WrittenCommunications",
     "nsuri": "http://xbrl.sec.gov/dei/2019-01-31",
     "presentation": [
      "http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation"
     ],
     "xbrltype": "booleanItemType"
    }
   },
   "unitCount": 0
  }
 },
 "std_ref": {
  "r0": {
   "Name": "Exchange Act",
   "Number": "240",
   "Publisher": "SEC",
   "Section": "12",
   "Subsection": "b"
  },
  "r1": {
   "Name": "Exchange Act",
   "Number": "240",
   "Publisher": "SEC",
   "Section": "12",
   "Subsection": "d1-1"
  },
  "r2": {
   "Name": "Exchange Act",
   "Number": "240",
   "Publisher": "SEC",
   "Section": "13e",
   "Subsection": "4c"
  },
  "r3": {
   "Name": "Exchange Act",
   "Number": "240",
   "Publisher": "SEC",
   "Section": "14d",
   "Subsection": "2b"
  },
  "r4": {
   "Name": "Exchange Act",
   "Number": "240",
   "Publisher": "SEC",
   "Section": "14a",
   "Subsection": "12"
  },
  "r5": {
   "Name": "Regulation 12B",
   "Number": "240",
   "Publisher": "SEC",
   "Section": "12",
   "Subsection": "b-2"
  },
  "r6": {
   "Name": "Securities Act",
   "Number": "230",
   "Publisher": "SEC",
   "Section": "425"
  }
 },
 "version": "2.1"
}
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>14
<FILENAME>d852216d8k_htm.xml
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<XML>
<?xml version="1.0" encoding="utf-8"?>
<xbrl
  xmlns="http://www.xbrl.org/2003/instance"
  xmlns:dei="http://xbrl.sec.gov/dei/2019-01-31"
  xmlns:link="http://www.xbrl.org/2003/linkbase"
  xmlns:xlink="http://www.w3.org/1999/xlink">
    <link:schemaRef xlink:href="rop-20200622.xsd" xlink:type="simple"/>
    <context id="duration_2020-06-22_to_2020-06-22">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0000882835</identifier>
        </entity>
        <period>
            <startDate>2020-06-22</startDate>
            <endDate>2020-06-22</endDate>
        </period>
    </context>
    <dei:EntityRegistrantName
      contextRef="duration_2020-06-22_to_2020-06-22"
      id="Hidden_dei_EntityRegistrantName">ROPER TECHNOLOGIES INC</dei:EntityRegistrantName>
    <dei:AmendmentFlag contextRef="duration_2020-06-22_to_2020-06-22">false</dei:AmendmentFlag>
    <dei:EntityCentralIndexKey
      contextRef="duration_2020-06-22_to_2020-06-22"
      id="Hidden_dei_EntityCentralIndexKey">0000882835</dei:EntityCentralIndexKey>
    <dei:DocumentType contextRef="duration_2020-06-22_to_2020-06-22">8-K</dei:DocumentType>
    <dei:DocumentPeriodEndDate contextRef="duration_2020-06-22_to_2020-06-22">2020-06-22</dei:DocumentPeriodEndDate>
    <dei:EntityIncorporationStateCountryCode contextRef="duration_2020-06-22_to_2020-06-22">DE</dei:EntityIncorporationStateCountryCode>
    <dei:EntityFileNumber contextRef="duration_2020-06-22_to_2020-06-22">1-12273</dei:EntityFileNumber>
    <dei:EntityTaxIdentificationNumber contextRef="duration_2020-06-22_to_2020-06-22">51-0263969</dei:EntityTaxIdentificationNumber>
    <dei:EntityAddressAddressLine1 contextRef="duration_2020-06-22_to_2020-06-22">6901 Professional Pkway. East</dei:EntityAddressAddressLine1>
    <dei:EntityAddressAddressLine2 contextRef="duration_2020-06-22_to_2020-06-22">Suite 200</dei:EntityAddressAddressLine2>
    <dei:EntityAddressCityOrTown contextRef="duration_2020-06-22_to_2020-06-22">Sarasota</dei:EntityAddressCityOrTown>
    <dei:EntityAddressStateOrProvince contextRef="duration_2020-06-22_to_2020-06-22">FL</dei:EntityAddressStateOrProvince>
    <dei:EntityAddressPostalZipCode contextRef="duration_2020-06-22_to_2020-06-22">34240</dei:EntityAddressPostalZipCode>
    <dei:CityAreaCode contextRef="duration_2020-06-22_to_2020-06-22">(941)</dei:CityAreaCode>
    <dei:LocalPhoneNumber contextRef="duration_2020-06-22_to_2020-06-22">556-2601</dei:LocalPhoneNumber>
    <dei:WrittenCommunications contextRef="duration_2020-06-22_to_2020-06-22">false</dei:WrittenCommunications>
    <dei:SolicitingMaterial contextRef="duration_2020-06-22_to_2020-06-22">false</dei:SolicitingMaterial>
    <dei:PreCommencementTenderOffer contextRef="duration_2020-06-22_to_2020-06-22">false</dei:PreCommencementTenderOffer>
    <dei:PreCommencementIssuerTenderOffer contextRef="duration_2020-06-22_to_2020-06-22">false</dei:PreCommencementIssuerTenderOffer>
    <dei:Security12bTitle contextRef="duration_2020-06-22_to_2020-06-22">Common Stock, $0.01 Par Value</dei:Security12bTitle>
    <dei:TradingSymbol contextRef="duration_2020-06-22_to_2020-06-22">ROP</dei:TradingSymbol>
    <dei:SecurityExchangeName contextRef="duration_2020-06-22_to_2020-06-22">NYSE</dei:SecurityExchangeName>
    <dei:EntityEmergingGrowthCompany contextRef="duration_2020-06-22_to_2020-06-22">false</dei:EntityEmergingGrowthCompany>
</xbrl>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>15
<FILENAME>FilingSummary.xml
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<XML>
<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.20.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>1</ContextCount>
  <ElementCount>95</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>false</FootnotesReported>
  <SegmentCount>0</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>0</UnitCount>
  <MyReports>
    <Report instance="d852216d8k.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>100000 - Document - Document and Entity Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://ropertech.com//20200622/taxonomy/role/DocumentDocumentAndEntityInformation</Role>
      <ShortName>Document and Entity Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="8-K" original="d852216d8k.htm">d852216d8k.htm</File>
    <File>d852216dex41.htm</File>
    <File>d852216dex51.htm</File>
    <File>rop-20200622.xsd</File>
    <File>rop-20200622_lab.xml</File>
    <File>rop-20200622_pre.xml</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy>http://xbrl.sec.gov/dei/2019-01-31</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>false</HasCalculationLinkbase>
</FilingSummary>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>16
<FILENAME>R1.htm
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<html>
<head>
<title></title>
<link rel="stylesheet" type="text/css" href="report.css">
<script type="text/javascript" src="Show.js">/* Do Not Remove This Comment */</script><script type="text/javascript">
							function toggleNextSibling (e) {
							if (e.nextSibling.style.display=='none') {
							e.nextSibling.style.display='block';
							} else { e.nextSibling.style.display='none'; }
							}</script>
</head>
<body>
<span style="display: none;">v3.20.1</span><table class="report" border="0" cellspacing="2" id="idp6628343936">
<tr>
<th class="tl" colspan="1" rowspan="1"><div style="width: 200px;"><strong>Document and Entity Information<br></strong></div></th>
<th class="th"><div>Jun. 22, 2020</div></th>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_CoverAbstract', window );"><strong>Cover [Abstract]</strong></a></td>
<td class="text">&#160;<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityRegistrantName', window );">Entity Registrant Name</a></td>
<td class="text">ROPER TECHNOLOGIES INC<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_AmendmentFlag', window );">Amendment Flag</a></td>
<td class="text">false<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityCentralIndexKey', window );">Entity Central Index Key</a></td>
<td class="text">0000882835<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_DocumentType', window );">Document Type</a></td>
<td class="text">8-K<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_DocumentPeriodEndDate', window );">Document Period End Date</a></td>
<td class="text">Jun. 22,  2020<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityIncorporationStateCountryCode', window );">Entity Incorporation State Country Code</a></td>
<td class="text">DE<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityFileNumber', window );">Entity File Number</a></td>
<td class="text">1-12273<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityTaxIdentificationNumber', window );">Entity Tax Identification Number</a></td>
<td class="text">51-0263969<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityAddressAddressLine1', window );">Entity Address, Address Line One</a></td>
<td class="text">6901 Professional Pkway. East<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityAddressAddressLine2', window );">Entity Address, Address Line Two</a></td>
<td class="text">Suite 200<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityAddressCityOrTown', window );">Entity Address, City or Town</a></td>
<td class="text">Sarasota<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityAddressStateOrProvince', window );">Entity Address, State or Province</a></td>
<td class="text">FL<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityAddressPostalZipCode', window );">Entity Address, Postal Zip Code</a></td>
<td class="text">34240<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_CityAreaCode', window );">City Area Code</a></td>
<td class="text">(941)<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_LocalPhoneNumber', window );">Local Phone Number</a></td>
<td class="text">556-2601<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_WrittenCommunications', window );">Written Communications</a></td>
<td class="text">false<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_SolicitingMaterial', window );">Soliciting Material</a></td>
<td class="text">false<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_PreCommencementTenderOffer', window );">Pre Commencement Tender Offer</a></td>
<td class="text">false<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_PreCommencementIssuerTenderOffer', window );">Pre Commencement Issuer Tender Offer</a></td>
<td class="text">false<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_Security12bTitle', window );">Security 12b Title</a></td>
<td class="text">Common Stock, $0.01 Par Value<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_TradingSymbol', window );">Trading Symbol</a></td>
<td class="text">ROP<span></span>
</td>
</tr>
<tr class="re">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_SecurityExchangeName', window );">Security Exchange Name</a></td>
<td class="text">NYSE<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl " style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="top.Show.showAR( this, 'defref_dei_EntityEmergingGrowthCompany', window );">Entity Emerging Growth Company</a></td>
<td class="text">false<span></span>
</td>
</tr>
</table>
<div style="display: none;">
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_AmendmentFlag">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Boolean flag that is true when the XBRL content amends previously-filed or accepted submission.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_AmendmentFlag</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:booleanItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_CityAreaCode">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Area code of city</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_CityAreaCode</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_CoverAbstract">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Cover page.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_CoverAbstract</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:stringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_DocumentPeriodEndDate">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>The end date of the period reflected on the cover page if a periodic report. For all other reports and registration statements containing historical data, it is the date up through which that historical data is presented.  If there is no historical data in the report, use the filing date. The format of the date is CCYY-MM-DD.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_DocumentPeriodEndDate</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:dateItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_DocumentType">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>The type of document being provided (such as 10-K, 10-Q, 485BPOS, etc). The document type is limited to the same value as the supporting SEC submission type, or the word 'Other'.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_DocumentType</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:submissionTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityAddressAddressLine1">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Address Line 1 such as Attn, Building Name, Street Name</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityAddressAddressLine1</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityAddressAddressLine2">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Address Line 2 such as Street or Suite number</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityAddressAddressLine2</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityAddressCityOrTown">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Name of the City or Town</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityAddressCityOrTown</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityAddressPostalZipCode">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Code for the postal or zip code</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityAddressPostalZipCode</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityAddressStateOrProvince">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Name of the state or province.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityAddressStateOrProvince</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:stateOrProvinceItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityCentralIndexKey">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Regulation 12B<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityCentralIndexKey</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:centralIndexKeyItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityEmergingGrowthCompany">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Indicate if registrant meets the emerging growth company criteria.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Regulation 12B<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityEmergingGrowthCompany</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:booleanItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityFileNumber">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Commission file number. The field allows up to 17 characters. The prefix may contain 1-3 digits, the sequence number may contain 1-8 digits, the optional suffix may contain 1-4 characters, and the fields are separated with a hyphen.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityFileNumber</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:fileNumberItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityIncorporationStateCountryCode">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Two-character EDGAR code representing the state or country of incorporation.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityIncorporationStateCountryCode</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:edgarStateCountryItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityRegistrantName">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Regulation 12B<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityRegistrantName</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityTaxIdentificationNumber">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>The Tax Identification Number (TIN), also known as an Employer Identification Number (EIN), is a unique 9-digit value assigned by the IRS.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Regulation 12B<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityTaxIdentificationNumber</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:employerIdItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_LocalPhoneNumber">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Local phone number for entity.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_LocalPhoneNumber</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_PreCommencementIssuerTenderOffer">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 13e<br> -Subsection 4c<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_PreCommencementIssuerTenderOffer</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:booleanItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_PreCommencementTenderOffer">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 14d<br> -Subsection 2b<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_PreCommencementTenderOffer</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:booleanItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_Security12bTitle">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Title of a 12(b) registered security.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_Security12bTitle</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:securityTitleItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_SecurityExchangeName">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Name of the Exchange on which a security is registered.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection d1-1<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_SecurityExchangeName</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:edgarExchangeCodeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_SolicitingMaterial">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as soliciting material pursuant to Rule 14a-12 under the Exchange Act.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Section 14a<br> -Number 240<br> -Subsection 12<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_SolicitingMaterial</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:booleanItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_TradingSymbol">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Trading symbol of an instrument as listed on an exchange.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_TradingSymbol</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:tradingSymbolItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_WrittenCommunications">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="top.Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">- Definition</a><div><p>Boolean flag that is true when the Form 8-K filing is intended to satisfy the filing obligation of the registrant as written communications pursuant to Rule 425 under the Securities Act.</p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Securities Act<br> -Number 230<br> -Section 425<br></p></div>
<a href="javascript:void(0);" onclick="top.Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_WrittenCommunications</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:booleanItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
</div>
</body>
</html>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
